Analyticity of the Spectral Multi-Function in Topological Algebras

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1. AUPETIT, B. (1982) - Analytic multivalued functions in Banach algebras and uniform algebras, «Advances Math.», 44, 18-60. Zbl0486.46041MR654547DOI10.1016/0001-8708(82)90064-0
2. HERVÉ, M. (1971) - Analytic and plurisubharmonic functions (in finite and infinite dimensional spaces), «Lect. Notes in Math.», 198, Springer-Verlag, Berlin. Zbl0214.36404MR466602
3. KAPLANSKY, I. (1948) - Topological Rings, «Bull. Amer. Math. Soc.», 54, 809-826. Zbl0031.19902MR26643
4. MICHAEL, E.A. (1952) - Locally multiplicatively-convex topological algebras, «Mem. Amer. Math. Soc.», 11. Zbl0047.35502MR51444
5. NOVERRAZ, PH. (1973) - Pseudo-convexité, convexité polynomiale et domaines d'holomorphie en dimension infinie, «Notas de Mat.», 3, North-Holland, Amsterdam. Zbl0251.46049MR358348
6. SCHAEFER, H.H. (1971) - Topological vector spaces, «Grad. Texts in Math.», 3, Springer-Verlag, Berlin. Zbl0217.16002MR342978
7. SŁODKOWSKI, Z. (1981) - Analytic set-valued functions and spectra, «Math. Ann.», 256, 363-386. Zbl0452.46028MR626955DOI10.1007/BF01679703
8. SŁODKOWSKI, Z. (1983) - Uniform algebras and analytic multifunctions, in « Rend. Accad. Naz. Lincei» (8) 75, 9-18. Zbl0596.46047MR780802
9. SLODKOWSKI, Z. (1982) — A criterion for subharmonicity of a function of the spectrum, «Studia Math.», 75, 37-49. Zbl0521.46038MR676803
10. TURPIN, P. (1970) - Une remarque sur les algèbres à inverse continu, «C.R. Acad. Sci. Paris», 270, 1686-1689 (A). Zbl0195.13804MR268674
11. VESENTINI, E. (1983) - Carathéodory distances and Banach algebras, «Advances Math.», 47, 50-73. Zbl0517.31006MR689764DOI10.1016/0001-8708(83)90054-3