Fredholm composition operators on algebras of analytic functions on Banach spaces

P. Galindo; T. W. Gamelin; Mikael Lindström

doi:10.1016/j.jfa.2009.10.020

Fredholm composition operators on algebras of analytic functions on Banach spaces

P. Galindo^*, T. W. Gamelin, Mikael Lindström

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

9 Citations (Scopus)

Abstract

We prove that Fredholm composition operators acting on the uniform algebra H^∞ (B_E) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.

Original language	English
Pages (from-to)	1504-1512
Number of pages	9
Journal	Journal of Functional Analysis
Volume	258
Issue number	5
DOIs	https://doi.org/10.1016/j.jfa.2009.10.020
Publication status	Published - 1 Mar 2010
MoE publication type	A1 Journal article-refereed

Keywords

Bounded analytic function
Composition operator
Fredholm operator

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10.1016/j.jfa.2009.10.020

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title = "Fredholm composition operators on algebras of analytic functions on Banach spaces",

abstract = "We prove that Fredholm composition operators acting on the uniform algebra H∞ (BE) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.",

keywords = "Bounded analytic function, Composition operator, Fredholm operator",

author = "P. Galindo and Gamelin, {T. W.} and Mikael Lindstr{\"o}m",

note = "Funding Information: * Corresponding author. E-mail addresses: galindo@uv.es (P. Galindo), twg@math.ucla.edu (T.W. Gamelin), mikael.lindstrom@oulu.fi (M. Lindstr{\"o}m). 1 Supported by Project 2007-64521 (MTM-FEDER, Spain). 2 Partially supported by Project 2007-64521 (MTM-FEDER, Spain).",

year = "2010",

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doi = "10.1016/j.jfa.2009.10.020",

language = "English",

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journal = "Journal of Functional Analysis",

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T1 - Fredholm composition operators on algebras of analytic functions on Banach spaces

AU - Galindo, P.

AU - Gamelin, T. W.

AU - Lindström, Mikael

N1 - Funding Information: * Corresponding author. E-mail addresses: galindo@uv.es (P. Galindo), twg@math.ucla.edu (T.W. Gamelin), mikael.lindstrom@oulu.fi (M. Lindström). 1 Supported by Project 2007-64521 (MTM-FEDER, Spain). 2 Partially supported by Project 2007-64521 (MTM-FEDER, Spain).

PY - 2010/3/1

Y1 - 2010/3/1

N2 - We prove that Fredholm composition operators acting on the uniform algebra H∞ (BE) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.

AB - We prove that Fredholm composition operators acting on the uniform algebra H∞ (BE) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.

KW - Bounded analytic function

KW - Composition operator

KW - Fredholm operator

UR - http://www.scopus.com/inward/record.url?scp=70450263407&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2009.10.020

DO - 10.1016/j.jfa.2009.10.020

M3 - Article

AN - SCOPUS:70450263407

SN - 0022-1236

VL - 258

SP - 1504

EP - 1512

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 5

ER -

Fredholm composition operators on algebras of analytic functions on Banach spaces

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Keywords

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