Keywords
- Bilinear Form
- Toeplitz Operator
- Essential Spectrum
- Functional Calculus
- Homology Class
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References
M. Atiyah and I. M. Singer, Index of elliptic operators I, II, III, Annals of Math. 87 (1968).
I. D. Berg, An extension of the Weyl-Von Neumann Theorem to normal operators, Trans. A.M.S. 160 (1971) 365–371.
L. Brown, R. G. Douglas, P. Fillmore, Unitary equivalence modulo the compact operators and extensions of C*-algebras, these Notes.
C. Berger and B. I. Show, Self-commutators of multi-cyclic hyponormal operators are always trace class, Bull. A.M.S. (See also their paper in these Notes.)
K. Clancy, Semi-normal operators with compact self-commutators, Proc. A.M.S. 26 (1970), 447–454.
K. Clancy, Examples of non-normal semi-normal operators whose spectra are non-spectral sets, Proc. A.M.S. 24 (1970) 497–800.
I. Colojoara, C. Foias, Theory of Generalized Spectral Operators, Gordon and Breach, New York, 1968.
R. Carey, J. D. Pincus, The structure of intertwining isometries, Indiana Journal 22 (1973) 679–703.
R. Carey, J. D. Pincus, On an invariant for certain operator algebras (to appear).
R. G. Douglas, Banach algebra techniques in the theory of Toeplitz operators, AMS Region Conf. Series in Math., 15 (1973).
Deddens and J. Stampfli, On a question of Douglas and Fillmore, Bull. A.M.S. 79 (1973).
N. Dunford and J. Schwartz, Linear operators I, Interscience, New York, 1967.
H. Federer, Geometric Measure Theory, Springer, 1969.
Gohberg and M. G. Krein, Introduction to the theory of linear non-self adjoint operators, Trans. Math. Monog. A.M.S. 18 (1969).
R. E. Howe, A functional calculus for hyponormal operators, to appear in Indiana Journal.
T. Kato, Smooth operators and commutators, Studia Math. 31 (1968) 535–546.
C.R.F. Maunder, Algebraic Topology, Van Nostrand, New York, 1970.
B. McCoy and T. T. Woo, The two-dimensional Ising model, Harvard University Press.
J. D. Pincus, Commutators and systems of singular integral equations I, Acta Math. 121 (1968).
J. D. Pincus, The determining function method in the treatment of commutator systems, Proc. Intern. Conf. Operator Theory, Tihany (Hungary) (1970).
J. D. Pincus, On the trace of commutators in the algebra of operators generated by an algebra with trace class self-commutator (to appear).
J. D. Pincus, The spectrum of semi-normal operators, Proc. Nat. Ac. Sci. U.S.A. 68 (1971).
C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Zeitschrift, 116 (1970) 323–330.
C. R. Putnam, Trace normal inequalities of the measure of hyponormal spectral, Indiana Journal 21 (1972).
C. R. Putnam, Commutation properties of Hilbert space operators and related topics, Springer, New York, 1967.
M. Rosenbloom, A spectral theory for self-adjoint singular integral operators, Amer. J. Math. 88 (1966) 314–328.
H. Royden, Real Analysis, McMillan, New York, 1964.
W. Rudin.
M. Venugopalkrishna, Fredholm operators associated with strongly pseudo-convex domains in Cn, J. Functional Analysis 9 (1972) 349–373.
Xa-Dao-Xeng, On non-normal operators, Chinese Math. 3 (1963) 232–246.
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Helton, J.W., Howe, R.E. (1973). Integral operators: Traces, index, and homology. In: Fillmore, P.A. (eds) Proceedings of a Conference on Operator Theory. Lecture Notes in Mathematics, vol 345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058919
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DOI: https://doi.org/10.1007/BFb0058919
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