%0 Journal Article %J Functional Analysis and its Applications, Volume 45, Issue 4, December 2011, Pages 241-251 %D 2011 %T On the Space of Symmetric Operators with Multiple Ground States %A Andrei A. Agrachev %K Multiple eigenvalue %X We study homological structure of the filtrations of the spaces of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional complex or real Hilbert space but infinite dimensional generalizations are easily guessed. %B Functional Analysis and its Applications, Volume 45, Issue 4, December 2011, Pages 241-251 %I SISSA %G en %U http://hdl.handle.net/1963/7069 %1 6392 %2 Mathematics %4 1 %# MAT/03 GEOMETRIA %$ Submitted by Andrei Agrachev (agrachev@sissa.it) on 2013-09-16T09:28:52Z No. of bitstreams: 1 1107.3010v2.pdf: 187825 bytes, checksum: 3e6e04aeadc87e130c87ada77fe862a1 (MD5) %R DOI: 10.1007/s10688-011-0026-5