Fredholm-valued holomorphic mappings on a Banach space

Seán Dineen; Milena Venkova

doi:10.1016/S0019-3577(08)80007-9

Fredholm-valued holomorphic mappings on a Banach space

Seán Dineen
, Milena Venkova

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

Abstract

In this article we show that the pointwise existence of a regulariser for holomorphic Fredhom-valued mappings defined on pseudo-convex domains in Banach spaces with an unconditional basis implies the existence of a holomorphic regulariser.

Original language	English
Pages (from-to)	379-389
Number of pages	11
Journal	Indagationes Mathematicae
Volume	19
Issue number	3
DOIs	https://doi.org/10.1016/S0019-3577(08)80007-9
Publication status	Published - Sep 2008
Externally published	Yes

Keywords

Fredholm operator
Meromorphic function
Regulariser

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10.1016/S0019-3577(08)80007-9

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abstract = "In this article we show that the pointwise existence of a regulariser for holomorphic Fredhom-valued mappings defined on pseudo-convex domains in Banach spaces with an unconditional basis implies the existence of a holomorphic regulariser.",

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

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AB - In this article we show that the pointwise existence of a regulariser for holomorphic Fredhom-valued mappings defined on pseudo-convex domains in Banach spaces with an unconditional basis implies the existence of a holomorphic regulariser.

KW - Fredholm operator

KW - Meromorphic function

KW - Regulariser

UR - https://www.scopus.com/pages/publications/67449132373

U2 - 10.1016/S0019-3577(08)80007-9

DO - 10.1016/S0019-3577(08)80007-9

M3 - Article

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VL - 19

SP - 379

EP - 389

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 3

ER -

Fredholm-valued holomorphic mappings on a Banach space

Abstract

Keywords

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