Skip to main content
Log in

Analytic set-valued functions and spectra

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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.

References

  1. Aupetit, B., Wermer, J.: Capacity and uniform algebras. J. Functional Analysis28, 386–400 (1978)

    Google Scholar 

  2. Aupetit, B.: Propriétés spectrales des algebres de Banach. Lecture Notes in Mathematics, Vol 735 Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  3. Basener, R.F.: A condition for analytic structure. Proc. Am. Math. Soc.36, 156–160 (1972)

    Google Scholar 

  4. Bungart, L.: On analytic fiber bundles. I. Topology7, 55–68 (1968)

    Google Scholar 

  5. Hille, E., Phillips, R.S.: Functional analysis and semi-groups. Am. Math. Soc. Colloquium Publications, Vol. XXXI, Providence 1957

  6. Gamelin, T.W.: Uniform algebras. Englewood Cliffs: Prentice-Hall 1969

    Google Scholar 

  7. Gunning R.C., Rossi, H.: Analytic functions of several complex variables. Englewood Cliffs: Prentice-Hall 1965

    Google Scholar 

  8. Kirchberg, E.: Banach algebras whose elements have at most countable spectra, Parts, I. II. Preprints P-36/79, P-43/79, Akademie der Wissenschaften der DDR, Zentralinstitut für Mathematik und Mechanik (to appear in Studia Math.)

  9. Kumagai, D.: Subharmonic functions and uniform algebras. Proc. Am. Math. Soc.78, 23–29 (1980)

    Google Scholar 

  10. Nishino, T.: Sur les ensembles pseudoconcaves. J. Math. Kyoto Univ.1–2, 225–245 (1962)

    Google Scholar 

  11. Oka, K.: Note sur les familles de fonctions analytiques multiformes etc. J. Sci Hiroshima Univ Ser. A4, 93–98 (1934)

    Google Scholar 

  12. Senitchkin, V.N.: Subharmonicheskie Funktii i Analitichoskaya strukture v prostranstve maximalnich idealov ravnomernoi algebrii. Mat., Sb.108, 115–133 (1979)

    Google Scholar 

  13. Słodkowski, Z.: Characterization of spectral multifunctions. Notices Am. Math. Soc. Abstract 770-B 25 (1979)

  14. Słodkowski, Z.: On subharmonicity of the capacity of the spectrum. Proc. Am. Math., Soc.81, 243–249 (1981)

    Google Scholar 

  15. Taylor, J.L.: A joint spectrum for several commuting operators. J. Functional Analysis6, 172–191 (1970)

    Google Scholar 

  16. Vesentini, E.: On the subharmonicity of the spectral radius. Boll. Un. Mat. Ital.4, 427–429 (1968)

    Google Scholar 

  17. Vladimirov, V.S.: Methods of the theory of functions of many complex variables. Cambridge, Mass.: M.I.T. Press 1966

    Google Scholar 

  18. Wermer, J.: Subharmonicity and hulls. Pacific J. Math.58, 283–290 (1975)

    Google Scholar 

  19. Wermer, J.: Capacity and uniform algebras. In: Proceedings of Symposia in Pure Mathematies, Vol. XXXV, Part I, 1979

  20. Wermer, J.: Potential theory and function, algebras. Expository paper submitted to Texas Tech. Math. Series, June 1980

  21. Wermer, J.: Maximum modulus algebras and singularity sets. Proc. of the Royal Soc. of Edinburgh86A. 327–331 (1980)

    Google Scholar 

  22. Yamaguchi, H.: Sur une uniformité des surfaces constantes d'une fonction entière de deux variables complexes. J. Math. Kyoto Univ.13, 417–433 (1973)

    Google Scholar 

  23. Saks, S., Zygmund, A.: Analytic functions, Second edition. Warszawa: PWN-Polish Sciencific 1965

    Google Scholar 

  24. Aupetit, B.: Analytic multivalued functions in Banach algebras and uniform algebras (to appear)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Słodkowski, Z. Analytic set-valued functions and spectra. Math. Ann. 256, 363–386 (1981). https://doi.org/10.1007/BF01679703

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01679703

Navigation