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Otopy Classification of Gradient Compact Perturbations of Identity in Hilbert Space

Abstract

We prove that the inclusion of the space of gradient local maps into the space of all local maps from Hilbert space to itself induces a bijection between the sets of the respective otopy classes of these maps, where by a local map we mean a compact perturbation of identity with a compact preimage of zero.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
FILOMAT no. 34, pages 1677 - 1687,
ISSN: 0354-5180
Language:
English
Publication year:
2020
Bibliographic description:
Bartłomiejczyk P., Nowak-Przygodzki P.: Otopy Classification of Gradient Compact Perturbations of Identity in Hilbert Space// FILOMAT -Vol. 34,iss. 5 (2020), s.1677-1687
DOI:
Digital Object Identifier (open in new tab) 10.2298/fil2005677b
Verified by:
Gdańsk University of Technology

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