Oka-analyticity of the essential spectrum
Casadio Tarabusi, Enrico
Rendiconti del Seminario Matematico della Università di Padova, Tome 80 (1988), p. 115-121 / Harvested from Numdam
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Publié le : 1988-01-01
@article{RSMUP_1988__79__115_0,
     author = {Casadio Tarabusi, Enrico},
     title = {Oka-analyticity of the essential spectrum},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {80},
     year = {1988},
     pages = {115-121},
     mrnumber = {964025},
     zbl = {0662.47002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1988__79__115_0}
}

Casadio Tarabusi, Enrico. Oka-analyticity of the essential spectrum. Rendiconti del Seminario Matematico della Università di Padova, Tome 80 (1988) pp. 115-121. http://gdmltest.u-ga.fr/item/RSMUP_1988__79__115_0/

[1] B. Aupetit, Analytic multivalued functions in Banach algebras and uniform algebras, Advances Math., 44 (1982), pp. 18-60. | MR 654547 | Zbl 0486.46041

[2] F.E. Browder, On the spectral theory of elliptic differential operators, I, Math. Ann., 142 (1961), pp. 22-130. | MR 209909 | Zbl 0104.07502

[3] E. Casadio Tarabusi, An elementary proof of Slodkowski's theorem, Proc. Amer. Math. Soc. 99 (1987), 793-784. | MR 877057 | Zbl 0619.46048

[4] T. Kato, Perturbation theory for linear operators (2nd corrected printing of the 2nd ed.), Springer-Verlag Grundlehren der Math. Wiss., 132 (1984), Berlin. | Zbl 0531.47014

[5] T.J. Ransford, Generalised spectra and analytic multivalued functions, J. London Math. Soc., (2) 29 (1984), pp. 306-322. | MR 744102 | Zbl 0508.46036

[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. | MR 759303 | Zbl 0526.46045

[7] M. Schechter, Invariance of the essential spectrum, Bull. Amer. Math. Soc., 71 (1965), pp. 365-367. | MR 174979 | Zbl 0132.35605

[8] M. Schechter, Principles of functional analysis, Academic Press, New York (1971). | MR 445263 | Zbl 0211.14501

[9] Z. S, Analytic set-valued functions and spectra, Math. Ann., 256 (1981), pp. 363-386. | MR 626955 | Zbl 0452.46028

[10] Z. S, Analytic families of operators: variation of the spectrum, Proc. R. Ir. Acad., 81-A (1981), pp. 121-126. | MR 635585 | Zbl 0475.47004

[11] Z. S, A criterion for subharmonicity of a function of the spectrum, Studia Math., 75 (1982), pp. 37-49. | MR 676803 | Zbl 0521.46038

[12] E. Vesentini, Carathéodory distances and Banach algebras, Advances Math., 47 (1983), pp. 50-73. | MR 689764 | Zbl 0517.31006

[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. | MR 107751 | Zbl 0086.08203