Uniform algebras and analytic multi­functions

Zbigniew Slodkowski

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 75, Issue: 1-2, page 9-18
  • ISSN: 1120-6330

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Slodkowski, Zbigniew. "Uniform algebras and analytic multi­functions." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 75.1-2 (1983): 9-18. <http://eudml.org/doc/287197>.

@article{Slodkowski1983,
author = {Slodkowski, Zbigniew},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {analytic multifunction; plurisubharmonic function; analytic in the Oka sense},
language = {eng},
month = {7},
number = {1-2},
pages = {9-18},
publisher = {Accademia Nazionale dei Lincei},
title = {Uniform algebras and analytic multi­functions},
url = {http://eudml.org/doc/287197},
volume = {75},
year = {1983},
}

TY - JOUR
AU - Slodkowski, Zbigniew
TI - Uniform algebras and analytic multi­functions
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/7//
PB - Accademia Nazionale dei Lincei
VL - 75
IS - 1-2
SP - 9
EP - 18
LA - eng
KW - analytic multifunction; plurisubharmonic function; analytic in the Oka sense
UR - http://eudml.org/doc/287197
ER -

References

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  1. Aupetit, B. (1979) - Propriétés spectrales des algebres de Banach, «Lecture Notes in Mathematics», 735, Springer-Verlag. Zbl0409.46054MR549769
  2. Aupetit, B. (1982) - Analytic multivalued functions in Banach algebras and uniform algebras, «Advances in Mathematics», 44, 18-60. Zbl0486.46041MR654547DOI10.1016/0001-8708(82)90064-0
  3. Aupetit, B. and Zemanek, J. - On zeros of analytic multivalued functions, to appear. Zbl0577.47016MR739050
  4. Nishino, T. (1962) - Sur les ensembles pseudoconcaves, «J. Math. Kyoto Univ.», 1-2, 225-245. MR147670
  5. Oka, K. (1934) - Note sur les familles de fonctions analytiques multiformes, etc., «J. Sci. Hiroshima Univ.», Ser. A, 4, 93-98. Zbl60.0243.06
  6. Slodkowski, Z. (1979) - Characterization of spectral multifunctions, «Notices An. Math. Soc.», 25, Abstract 770-B. 
  7. Slodkowski, Z. (1981) - On subharmonicity of the capacity of the spectrum, «Proc. Amer. Math. Soc.», 81, 243-249. Zbl0407.46046MR593466DOI10.2307/2044203
  8. Slodkowski, Z. (1981) - Analytic set-valued functions and spectra, «Math. Ann.», 256, 363-386. Zbl0452.46028MR626955DOI10.1007/BF01679703
  9. Slodkowski, Z. (1980) - Analytic set-valued functions and spectra, Preprint of the Institute of Mathematics of the Polish Academy of Sciences, October 1980. MR626955DOI10.1007/BF01679703
  10. Slodkowski, Z. (1981) - Analytic families of operators: variation of the spectrum, «Proc. R. Ir. Acad.», 81 A, 121-126. Zbl0475.47004MR635585
  11. Slodkowski, Z. (1982) - A criterion for subharmonicity of a function of the spectrum, «Studia. Math.», 75, 37-49. Zbl0521.46038MR676803
  12. Yamaguchi, H. (1973) - Sur une uniformité des surfaces constantes d'une fonction entière de deux variables complexes, «J. Math. Kyoto. Univ.», 13, 417-433. Zbl0282.32002MR338424
  13. Vesentini, E. - Caratheodory distances and Banach algebras, «Adv. in Math.», (to appear). Zbl0517.31006MR689764DOI10.1016/0001-8708(83)90054-3
  14. Wermer, J. (1975) - Subharmonicity and hulls, «Pacific J. Math.», 58, 283-290. Zbl0308.32011MR393567
  15. Wermer, J. (1980) — Maximum modulus algebras and singularity sets, «Proc. of the Royal Soc. of Edinburgh», 86 A, 327-331. Zbl0453.46041MR592560DOI10.1017/S0308210500012233
  16. Wermer, J. (1981) - Potential theory and function algebras, «Texas Tech. Univ. Math. Series», 14, 113-125. MR640734

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