On trace and determinant for entire operator functions

DOI10.1007/BF01200375zbMath0561.47012OpenAlexW2063733991MaRDI QIDQ2266426

Alan S. Perelson

Publication date: 1984

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200375

zbMATH Keywords

tracedeterminants-numbersoperator polynomialsideal of all compact operatorsentire operator functionmethod of linearizationsequence of characteristic numbers

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (2)

On the trace of certain rational operator functions ⋮ Linearization, trace, and determinant of certain meromorphic operator functions

Cites Work

• A linearization for operator polynomials with coefficients in certain operator ideals
• Convergence and evaluation of sums of reciprocal powers of eigenvalues of certain compact operators (on Hilbert space) which are meromorphic functions of the eigenvalue parameter
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