Schur class operator functions and automorphisms of Hardy algebras.
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Muhly, Paul S., Solel, Baruch (2008)
Documenta Mathematica
José M. Ansemi, Socorro Ponte (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Ю.Г. Решетняк (1971)
Sibirskij matematiceskij zurnal
Jorge Mujica (1997)
Studia Mathematica
We show that if U is a balanced open subset of a separable Banach space with the bounded approximation property, then the space ℋ(U) of all holomorphic functions on U, with the Nachbin compact-ported topology, is always bornological.
T.W. Gamelin, R.M. Aron, B.J. Cole (1991)
Journal für die reine und angewandte Mathematik
Nguyen Van Khue, P. Thien Danh (1997)
Publicacions Matemàtiques
Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(OE)]' ∈ (Ω) (resp. [H(OE)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if Hb(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].
Nguyen Minh Ha (1995)
Monatshefte für Mathematik
Lawrence A. Harris (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
M. Gonzáles, J. M. Gutiérrez (1994)
Acta Universitatis Carolinae. Mathematica et Physica
Kajiwara, J., Nishihara, M., Ohgai, S., Sugawara, N. (1991)
Portugaliae mathematica
Boris Walter (2012)
D. García, M. Maestre, P. Rueda (2000)
Studia Mathematica
We deal with weighted spaces and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.
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