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A Trace Formula for the Dirac Operator
Author(s) -
Yafaev D. R.
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004911
Subject(s) - mathematics , trace class , trace (psycholinguistics) , dirac operator , dirac (video compression format) , nuclear operator , class (philosophy) , operator (biology) , pure mathematics , function (biology) , operator theory , clifford analysis , algebra over a field , finite rank operator , quantum mechanics , hilbert space , physics , computer science , philosophy , repressor , artificial intelligence , banach space , linguistics , chemistry , biology , biochemistry , evolutionary biology , transcription factor , neutrino , gene
The theory of the spectral shift function is extended to the case where only the difference of some powers of the resolvents of self‐adjoint operators belongs to the trace class. As an example, a pair of Dirac operators is considered. 2000 Mathematics Subject Classification 47A40, 47A55.