Theorems of Banach-Stone Type for Algebras of Holomorphic Functions on Infinite Dimensional Spaces

DOI10.3318/PRIA.2006.106.1.97zbMath1134.46021OpenAlexW2104031808MaRDI QIDQ5421844

Daniela M. Vieira

Publication date: 24 October 2007

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3318/pria.2006.106.1.97

zbMATH Keywords

Banach-Stone theoremsalgebras of holomorphic functionsTsirelson-like spaces

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (9)

Polynomial approximation in Banach spaces ⋮ AN EXTENSION OF THE BANACH–STONE THEOREM ⋮ Banach–Stone theorems for algebras of holomorphic germs on spaces with the approximation property ⋮ The polynomial dual of an operator ideal ⋮ Spectra of weighted (LB)-algebras of entire functions on Banach spaces ⋮ Spectra of algebras of holomorphic functions of bounded type ⋮ On the Banach-Stone theorem for algebras of holomorphic germs ⋮ Spectra of weighted algebras of holomorphic functions ⋮ Envelopes of open sets and extending holomorphic functions on dual Banach spaces

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