Oka-analyticity of the essential spectrum

Enrico Casadio Tarabusi

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 79, page 115-121
  • ISSN: 0041-8994

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Casadio Tarabusi, Enrico. "Oka-analyticity of the essential spectrum." Rendiconti del Seminario Matematico della Università di Padova 79 (1988): 115-121. <http://eudml.org/doc/108087>.

@article{CasadioTarabusi1988,
author = {Casadio Tarabusi, Enrico},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Oka-analyticity of the essential spectrum; holomorphic family; analytic multifunction; Wolf spectrum; Weyl spectrum; Browder spectrum},
language = {eng},
pages = {115-121},
publisher = {Seminario Matematico of the University of Padua},
title = {Oka-analyticity of the essential spectrum},
url = {http://eudml.org/doc/108087},
volume = {79},
year = {1988},
}

TY - JOUR
AU - Casadio Tarabusi, Enrico
TI - Oka-analyticity of the essential spectrum
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 79
SP - 115
EP - 121
LA - eng
KW - Oka-analyticity of the essential spectrum; holomorphic family; analytic multifunction; Wolf spectrum; Weyl spectrum; Browder spectrum
UR - http://eudml.org/doc/108087
ER -

References

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  1. [1] B. Aupetit, Analytic multivalued functions in Banach algebras and uniform algebras, Advances Math., 44 (1982), pp. 18-60. Zbl0486.46041MR654547
  2. [2] F.E. Browder, On the spectral theory of elliptic differential operators, I, Math. Ann., 142 (1961), pp. 22-130. Zbl0104.07502MR209909
  3. [3] E. Casadio Tarabusi, An elementary proof of Slodkowski's theorem, Proc. Amer. Math. Soc.99 (1987), 793-784. Zbl0619.46048MR877057
  4. [4] T. Kato, Perturbation theory for linear operators (2nd corrected printing of the 2nd ed.), Springer-VerlagGrundlehren der Math. Wiss., 132 (1984), Berlin. Zbl0531.47014
  5. [5] T.J. Ransford, Generalised spectra and analytic multivalued functions, J. London Math. Soc., (2) 29 (1984), pp. 306-322. Zbl0508.46036MR744102
  6. [6] T.J. Ransford, Open mapping, inversion and implicit function theorems for analytic multivalued functions, Proc. London Math. Soc., (3) 49 (1984), pp. 537-562. Zbl0526.46045MR759303
  7. [7] M. Schechter, Invariance of the essential spectrum, Bull. Amer. Math. Soc., 71 (1965), pp. 365-367. Zbl0132.35605MR174979
  8. [8] M. Schechter, Principles of functional analysis, Academic Press, New York (1971). Zbl0211.14501MR445263
  9. [9] Z. S, Analytic set-valued functions and spectra, Math. Ann., 256 (1981), pp. 363-386. Zbl0452.46028MR626955
  10. [10] Z. S, Analytic families of operators: variation of the spectrum, Proc. R. Ir. Acad., 81-A (1981), pp. 121-126. Zbl0475.47004MR635585
  11. [11] Z. S, A criterion for subharmonicity of a function of the spectrum, Studia Math., 75 (1982), pp. 37-49. Zbl0521.46038MR676803
  12. [12] E. Vesentini, Carathéodory distances and Banach algebras, Advances Math., 47 (1983), pp. 50-73. Zbl0517.31006MR689764
  13. [13] F. Wolf, On the invariance of the essential spectrum under a change of boundary conditions of partial differential boundary operators, Indag. Math., 21 (1959), pp. 142-147. Zbl0086.08203MR107751

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