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On the space of symmetric operators with multiple ground states.

Authors :
Agrachev, A.
Source :
Functional Analysis & Its Applications. Dec2011, Vol. 45 Issue 4, p241-251. 11p.
Publication Year :
2011

Abstract

We study the homology structure of the filtration of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting on a finite-dimensional complex or real Hilbert space, but infinite-dimensional generalizations are easy to guess. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00162663
Volume :
45
Issue :
4
Database :
Academic Search Index
Journal :
Functional Analysis & Its Applications
Publication Type :
Academic Journal
Accession number :
69698159
Full Text :
https://doi.org/10.1007/s10688-011-0026-5