A linearization for operator polynomials with coefficients in certain operator ideals

DOI10.1007/BF01789418zbMath0452.47020MaRDI QIDQ1148523

M. P. A. van de Ven, Marinus A. Kaashoek

Publication date: 1980

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

zbMATH Keywords

linearizationoperator polynomials

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53)

Related Items (6)

Transfer functions and operator theory ⋮ A trace theorem and a linearization method for operator polynomials ⋮ 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 ⋮ Spectral representation of a generalized trace and determinant

Cites Work

• 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
• Equivalence, linearization, and decomposition of holomorphic operator functions
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