Banach algebras associated with linear operator pencils

DOI10.1134/S0001434609090090zbMath1200.46047MaRDI QIDQ1048580

I. V. Kurbatova

Publication date: 12 January 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

resolventspectrumpseudoresolventoperator pencilBanach algebra.maximal pseudoresolvent

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (6)

Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators ⋮ Perturbations of polynomials with operator coefficients ⋮ Functional calculus generated by a square pencil ⋮ Bisectorial operator pencils and the problem of bounded solutions ⋮ Norm estimate for the inverse of a linear pencil with Hilbert–Schmidt operators ⋮ Representations of Green's function of the bounded solutions problem for a differential-algebraic equation

Cites Work

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• On some singular hyperbolic evolution equations
• Certain spectral properties of a pencil of linear bounded operators
• Classes of linear operators. Vol. I
• Diskrete Konvergenz linearer Operatoren. II
• Spectral analysis of linear relations and degenerate operator semigroups
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations

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