1. Preface

   • N. K. Nikol'skii
   • V. P. Khavin
   • S. V. Khrushchev

   EditorialNotes Pages: I - II

2. 1.1. Absolutely summing operators from the disc algebra

   • A. Pełczyński

   Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2089 - 2093

3. 2.1. When is Π₂(X, ℓ²=L(X, ℓ²)?

   • I. A. Komarchev
   • B. M. Makarov

   Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2094 - 2095

4. 3.1. Finite-dimensional operators on spaces of analytic functions

   • P. Wojtaszczyk

   Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2096 - 2097

5. 4.1. Complemented subspaces of A, H¹, and H^∞

   • P. G. Casazza

   Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2098 - 2099

6. 5.1. Hardy-type spaces

   • E. M. Semenov

   Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2100 - 2100

7. 6.1. Spaces of analytic functions (isomorphisms, bases)

   • V. P. Zakharyuta
   • O. S. Semiguk
   • N. I. Skiba

   Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2101 - 2103

8. 7.1. Linear functionals in spaces of analytic functions and linear convexity in ℂⁿ

   • L. A. Aizenberg

   Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2104 - 2106

9. 8.1. Golubev series and analyticity in the neighborhood of a continuum

   • V. P. Khavin

   Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2107 - 2108

10. 9.1. Uniqueness of the support of analytic functions

    • V. M. Trutnev

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 1 Spaces of Analytic Functions Pages: 2109 - 2110

11. 1.2. The vanishing interior of the spectrum

    • G. J. Murphy
    • T. T. West

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2111 - 2112

12. 2.2. The spectral radius formula in quotient algebras

    • G. J. Murphy
    • M. R. F. Smyth
    • T. T. West

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2113 - 2113

13. 3.2. Analyticity in the Gelfand space of the algebra of L⁴(ℝ) multipliers

    • Gavin Brown
    • William Moran

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2114 - 2115

14. 4.2. Cohen-Rudin characterization of homomorphisms of measure algebras

    • Satoru Igari

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2116 - 2117

15. 5.2. Polynomial approximation

    • L. de Branges

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2118 - 2118

16. 6.2. Problems pertaining to the algebra of bounded analytic functions

    • T. W. Gamelin

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2119 - 2120

17. 7.2. Subalgebras of the disk algebra

    • J. Wermer

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2121 - 2122

18. 8.2. Sets of antisymmetry and support sets for H^∞ + C

    • Donald Sapason

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2123 - 2124

19. 9.2. Algebraic equations in commutative Banach algebras and related questions

    • E. A. Gorin

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2125 - 2127

20. 10.2. Holomorphic mappings of certain spaces, connected with algebraic functions

    • V. Ya. Lin

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 2. Banach Algebras Pages: 2128 - 2130

21. 1.3. Some questions about Hardy functions

    • H. P. McKean

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 3 Problems from Probability Theory Pages: 2131 - 2132

22. 2.3. Some analytic problems arising in the theory of stationary random processes

    • I. A. Ibragimov
    • V. N. Solev

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 3 Problems from Probability Theory Pages: 2133 - 2134

23. 3.3. Fourier transform of the characteristic function of a set of finite Lebesgue measure in ℝⁿ

    • N. A. Sapogov

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 3 Problems from Probability Theory Pages: 2135 - 2135

24. 4.3. The existence of measures with given projections

    • V. N. Sudakov

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 3 Problems from Probability Theory Pages: 2136 - 2136

25. 1.4. Is the uniform algebraic approximation of the multiplication and convolution operators possible?

    • A. M. Vershik

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2137 - 2141

26. 2.4. Operators, analytic negligibility, and capacities

    • C. R. Putnam

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2142 - 2143

27. 3.4. Null-sets of operator functions with a positive imaginary part

    • B. S. Pavlov
    • L. D. Faddeev

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2144 - 2146

28. 4.4. Polynomial approximation arising in connection with the lacunae of the spectrum of Hill's equation

    • H. P. McKean

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2147 - 2148

29. 5.4. Titchmarsh's theorem for vector functions

    • Henry Helson

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2149 - 2149

30. 6.4. Operators and approximation

    • N. K. Nikol'skii

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2150 - 2151

31. 7.4. Spectral decompositions and the carleson condition

    • V. I. Vasyunin
    • N. K. Nikol'skii
    • B. S. Pavlov

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2152 - 2153

32. 8.4. Operator-valued bounded analytic functions

    • B. Szökefalvi-Nagy

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2154 - 2154

33. 9.4. The similarity problem and the structure of the singular spectrum of a nondissipative operator

    • S. N. Naboko

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2155 - 2156

34. 10.4. The factorization of operators in L²(a, b)

    • L. A. Sakhnovic

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2157 - 2159

35. 11.4. A similarity problem for Toeplitz operators

    • Douglas N. Clark

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2160 - 2161

36. 12.4. Localization of toeplitz operators

    • R. G. Douglas

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2162 - 2163

37. 13.4. Factorization of operator functions (classification of holomorphic Hilbert space bundles over the Riemannian sphere)

    • J. Leiterer

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2164 - 2166

38. 14.4. Bounds for operator polynomials in the schatten-eumann classes

    • V. V. Peller

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2167 - 2168

39. 15.4. Decomposition of Riesz operators

    • M. R. F. Smyth
    • T. T. West

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 4 Linear Operators Pages: 2169 - 2169

40. 1.5. Holomorphic functions with limited growth

    • L. Waelbroeck

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2170 - 2173

41. 2.5. Localization of polynomial submodules in certain spaces of analytic functions and the solvability of\(\bar \partial\)-equations

    • V. P. Palamodov

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2174 - 2175

42. 3.5. Invariant subspaces and the surjectivity of differential operators

    • V. M. Trutnev

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2176 - 2177

43. 4.5. Hardy classes and Riemann surfaces of Parreau-Widom type

    • Morisuke Hasumi

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2178 - 2179

44. 5.5. The local description of closed submodules and the problem of supersaturation

    • I. F. Krasichkov-Ternovskii

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2180 - 2182

45. 6.5. A problem in the spectral theory of an ordinary differential operator in a complex domain

    • V. A. Tkachenko

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2183 - 2184

46. 7.5. Two problems on spectral synthesis

    • N. K. Nikol'skii

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2185 - 2186

47. 8.5. Cyclic vectors in spaces of analytic functions

    • Allen L. Shields

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2187 - 2188

48. 9.5. Weak invertibility and factorization in certain spaces of analytic functions

    • Richard Frankfurt

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2189 - 2190

49. 10.5. Weakly invertible elements in Bergman spaces

    • Boris Korenblum

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2191 - 2192

50. 11.5. Invariant subspaces of a shift operator in certain spaces of analytic functions

    • F. A. Shamoyan

    Studies in Linear Operators and Function Theory. 99 Unsolved Problems in Linear and Complex Analysis Chapter 5. Spectral Analysis and Synthesis Pages: 2193 - 2194