A new topology on the space of unbounded selfadjoint operators and the spectral flow

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dc.creatorWahl, Charlotte
dc.date2006-07-30
dc.date2007-03-26
dc.date.accessioned2026-07-07T07:53:38Z
dc.date.available2026-07-07T07:53:38Z
dc.descriptionWe define a new topology, weaker than the gap topology, on the space of selfadjoint unbounded operators on a separable Hilbert space. We show that the subspace of selfadjoint Fredholm operators represents the functor $K^1$ from the category of compact spaces to the category of abelian groups and prove a similar result for $K^0$. We define the spectral flow of a continuous path of selfadjoint Fredholm operators generalizing the approach of Booss-Bavnek--Lesch--Phillips.
dc.description13 pages, Def. of Dom D corrected and minor corrections, more detailed exposition
dc.identifierhttps://arxiv.org/abs/math/0607783
dc.identifierhttp://arxiv.org/abs/math/0607783
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126299
dc.subjectFunctional Analysis
dc.subjectK-Theory and Homology
dc.subject58J30; 46L80; 47A53
dc.titleA new topology on the space of unbounded selfadjoint operators and the spectral flow
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