Spectra of weighted algebras of holomorphic functions,10.1007/s00209-008-0444-0,Mathematische Zeitschrift,Daniel Carando,Pablo Sevilla-Peris

Spectra of weighted algebras of holomorphic functions (Citations: 1)


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We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to investigate how their induced mappings act on the analytic structure of the spectrum. Moreover, a Banach–Stone type question is addressed.

Journal: Mathematische Zeitschrift - MATH Z , vol. 263, no. 4, pp. 887-902, 2009

DOI: 10.1007/s00209-008-0444-0

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Spectra of weighted algebras of holomorphic functions,10.1007/s00209-008-0444-0,Mathematische Zeitschrift,Daniel Carando,Pablo Sevilla-Peris

References (21)

A Reflexive Space of Holomorphic Functions in Infinitely Many Variables (Citations: 45)

A Hahn - Banach extension theorem for analytic mappings (Citations: 47)

Spectra of algebras of analytic functions on a Banach space (Citations: 42)

REGULARITY AND ALGEBRAS OF ANALYTIC FUNCTIONS IN INFINITE DIMENSIONS (Citations: 12)

Polynomials on dual-isomorphic spaces (Citations: 10)

Citations (1)

A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions


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