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

DOI10.1007/BF02411821zbMath0352.47011MaRDI QIDQ1235889

Anthony V. Laginestra, William E. Boyce

Publication date: 1976

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Fredholm integral equations (45B05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items

A linearization for operator polynomials with coefficients in certain operator ideals ⋮ On the trace of certain rational operator functions ⋮ Linearization, trace, and determinant of certain meromorphic operator functions ⋮ On trace and determinant for entire operator functions

Cites Work

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