On the trace of certain rational operator functions

DOI10.1007/BF01193765zbMath0826.47010OpenAlexW2001594196MaRDI QIDQ1187753

Josef Menzel, Hansjörg Linden

Publication date: 23 July 1992

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

Full work available at URL: https://doi.org/10.1007/bf01193765

zbMATH Keywords

eigenvaluesoperator functionsgeometric multiplicitiesnull multiplicitiestrace and determinant formulas

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)

Related Items (2)

Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices ⋮ Linearization, trace, and determinant of certain meromorphic operator functions

Cites Work

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• Eine neue Methode zur Behandlung nichtlinearer Eigenwertaufgaben
• Minimal factorization of matrix and operator functions
• A linearization for operator polynomials with coefficients in certain operator ideals
• A trace theorem and a linearization method for operator polynomials
• 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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