The integral formula for the reduced algebraic multiplicity of meromorphic operator functions

DOI10.1017/S0013091500015893zbMath0376.47008OpenAlexW2103920391MaRDI QIDQ4153224

Harm Bart, David C. Lay, Marinus A. Kaashoek

Publication date: 1978

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500015893

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items

Sums of idempotents and logarithmic residues in zero pattern matrix algebras, Some properties of the frequency domain description of boundary control systems, The structure of the singularities of holomorphic matrices, Logarithmic residues, Rouché's theorem, and spectral regularity: The \(C^{\ast}\)-algebra case, Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse, Trace conditions for regular spectral behavior of vector-valued analytic functions

Cites Work

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• Relative inverses of meromorphic operator functions and associated projection functions
• Ascent, descent, nullity and defect, a note on a paper by A.E. Taylor
• Holomorphic relative inverses of operator valued functions
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ