Skip to main content
Log in

Spectral theory of linear relations on real Banach spaces

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

We consider the relationship between the spectral properties of linear relations (multivalued linear operators) on real Banach spaces and their complexifications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. Dunford and J. T. Schwartz, Linear Operators. General Theory (Interscience Publ., New York-London, 1958; Inostr. Lit., Moscow, 1962).

    Google Scholar 

  2. N. Bourbaki, Théories spectrales (Hermann, Paris, 1967; Mir, Moscow, 1972).

    MATH  Google Scholar 

  3. E. Hille and R. Phillips, Functional Analysis and Semi-Groups (Amer. Math. Soc., Providence, RI, 1957; Mir, Moscow, 1962).

    Google Scholar 

  4. K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations (Springer Verlag, New York, 2000).

    MATH  Google Scholar 

  5. W. Rudin, Principles of Mathematical Analysis (McGraw-Hill, New York, 1973; Mir, Moscow, 1975).

    Google Scholar 

  6. Functional Analysis, Ed. by S. G. Krein, Mathematics Library (Nauka, Moscow, 1972) [in Russian].

    Google Scholar 

  7. R. Cross, Multivalued Linear Operators (Marcel Dekker, New York, 1998).

    MATH  Google Scholar 

  8. A. Favini and A. Yagi, “Degenerate differential equations in Banach spaces,” in Pure and Applied Mathematics, A Series of Monographs and Textbooks (Marcel Dekker, New York, 1998).

    Google Scholar 

  9. A. G. Baskakov and K. I. Chernyshev, “Spectral analysis of linear relations and degenerate semigroups of operators,” Mat. Sb. [Russian Acad. Sci. Sb. Math.] 193(11), 3–42 (2002).

    Google Scholar 

  10. A. G. Baskakov, The Theory of Representation of Banach Algebras, Groups, and Semigroups in Spectral Analysis of Linear Operators, Current Problems in Mathematics: Fundamental Directions (Moscow Aviation Institute, Moscow, 2004) [in Russian].

    Google Scholar 

  11. D. Henry, Geometric Theory of Semilinear Parabolic Equations (Springer-Verlag, Heidelberg, 1981; Mir, Moscow, 1985).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A. G. Baskakov, A. S. Zagorskii, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 1, pp. 17–31.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baskakov, A.G., Zagorskii, A.S. Spectral theory of linear relations on real Banach spaces. Math Notes 81, 15–27 (2007). https://doi.org/10.1134/S0001434607010026

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434607010026

Key words

Navigation