Otopy classification of gradient compact perturbations of identity in Hilbert space
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...
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| Veröffentlicht in: | Filomat 2020, Vol.34 (5), p.1677-1687 |
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| container_issue | 5 |
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| container_title | Filomat |
| container_volume | 34 |
| creator | Bartłomiejczyk, Piotr Nowak-Przygodzki, Piotr |
| description | 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. |
| doi_str_mv | 10.2298/FIL2005677B |
| format | Article |
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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
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| fulltext | fulltext |
| identifier | ISSN: 0354-5180 |
| ispartof | Filomat, 2020, Vol.34 (5), p.1677-1687 |
| issn | 0354-5180 2406-0933 |
| language | eng |
| recordid | cdi_crossref_primary_10_2298_FIL2005677B |
| source | Jstor Complete Legacy; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | Otopy classification of gradient compact perturbations of identity in Hilbert space |
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