Inverses depending holomorphically on a parameter in a Banach space

Seán Dineen; Imre Patyi; Milena Venkova

doi:10.1016/j.jfa.2006.01.016

Inverses depending holomorphically on a parameter in a Banach space

Seán Dineen
, Imre Patyi
, Milena Venkova

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

Abstract

We show that the existence of a right inverse at each point for a holomorphic mapping from a pseudo-convex domain in a Banach space with an unconditional basis into a unital Banach algebra implies the existence of a holomorphic right inverse. Variations of this result are given.

Original language	English
Pages (from-to)	338-349
Number of pages	12
Journal	Journal of Functional Analysis
Volume	237
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2006.01.016
Publication status	Published - 1 Aug 2006
Externally published	Yes

Keywords

Banach algebra
Holomorphic right inverse
Holomorphic vector bundle

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10.1016/j.jfa.2006.01.016

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title = "Inverses depending holomorphically on a parameter in a Banach space",

abstract = "We show that the existence of a right inverse at each point for a holomorphic mapping from a pseudo-convex domain in a Banach space with an unconditional basis into a unital Banach algebra implies the existence of a holomorphic right inverse. Variations of this result are given.",

keywords = "Banach algebra, Holomorphic right inverse, Holomorphic vector bundle",

author = "Se{\'a}n Dineen and Imre Patyi and Milena Venkova",

year = "2006",

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doi = "10.1016/j.jfa.2006.01.016",

language = "English",

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T1 - Inverses depending holomorphically on a parameter in a Banach space

AU - Dineen, Seán

AU - Patyi, Imre

AU - Venkova, Milena

PY - 2006/8/1

Y1 - 2006/8/1

N2 - We show that the existence of a right inverse at each point for a holomorphic mapping from a pseudo-convex domain in a Banach space with an unconditional basis into a unital Banach algebra implies the existence of a holomorphic right inverse. Variations of this result are given.

AB - We show that the existence of a right inverse at each point for a holomorphic mapping from a pseudo-convex domain in a Banach space with an unconditional basis into a unital Banach algebra implies the existence of a holomorphic right inverse. Variations of this result are given.

KW - Banach algebra

KW - Holomorphic right inverse

KW - Holomorphic vector bundle

UR - https://www.scopus.com/pages/publications/33646526506

U2 - 10.1016/j.jfa.2006.01.016

DO - 10.1016/j.jfa.2006.01.016

M3 - Article

AN - SCOPUS:33646526506

SN - 0022-1236

VL - 237

SP - 338

EP - 349

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Inverses depending holomorphically on a parameter in a Banach space

Abstract

Keywords

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