The spectrum of analytic mappings of bounded type

DOI10.1006/JMAA.2000.6762zbMath0962.46034OpenAlexW1990978134MaRDI QIDQ1570209

Manuel Maestre, Domingo García, Mary Lilian Lourenço, Luiza Amália Moraes

Publication date: 13 June 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6762

zbMATH Keywords

analytic structureArens productgeneralized spectrumAron-Berner extensionNicodemi sequencesalgebra of all the holomorphic mappingsFréchet topology of uniform convergence on the bounded setsholomorphic mappins of bounded typeZalduendo extension

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Banach algebras of continuous functions, function algebras (46J10) Infinite-dimensional holomorphy (46G20) Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (3)

The \(w_{EF}\) topology for a Banach space \(E\) ⋮ On compact extensions of multilinear operators ⋮ Spectra of algebras of entire functions on Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spectra of some algebras of analytic mappings
• Operations induced in function classes
• A Canonical Extension for Analytic Functions on Banach Spaces
• Weakly Compact Bilinear Forms and Arens Regularity
• A Hahn-Banach extension theorem for analytic mappings
• Characterizations of weakly compact operators on $C_o(T)$
• Extension of multilinear mappings on Banach spaces
• A Theorem on Polynomial-Star Approximation
• Weak-Star Continuous Analytic Functions
• Regularity and Algebras of Analytic Functions in Infinite Dimensions
• The Adjoint of a Bilinear Operation

This page was built for publication: The spectrum of analytic mappings of bounded type