Linearization, trace, and determinant of certain meromorphic operator functions

DOI10.1007/BF01195780zbMath0785.47013OpenAlexW1971872486MaRDI QIDQ1198110

Hansjörg Linden

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf01195780

zbMATH Keywords

linearizationtracedeterminantgeometric multiplicitiesnull multiplicitiesmeromorphic operator functions

Mathematics Subject Classification ID

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

Cites Work

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• On the trace of certain rational operator functions
• 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
• On trace and determinant for entire operator functions
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ

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