Spectral theory of linear relations on real Banach spaces

DOI10.1134/S0001434607010026zbMath1180.47005MaRDI QIDQ2460506

A. S. Zagorskiĭ, Anatoly G. Baskakov

Publication date: 12 November 2007

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

zbMATH Keywords

functional calculusspectral theory of linear operatorsreal Banach spacecovariant complexification functorlinear relation (multivalued linear operator)

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15) Linear relations (multivalued linear operators) (47A06)

Related Items (22)

Approximate solution of a parabolic equation with the use of a rational approximation to the operator exponential ⋮ Positive linear relation and application to domination problem. ⋮ Relatively bounded perturbations of a closed linear relation and its adjoint ⋮ Criterion for the solvability of the weighted Cauchy problem for an abstract Euler-Poisson-Darboux equation ⋮ Perturbations of spectra of closed subspaces in Banach spaces ⋮ Spectral properties of self-adjoint subspaces ⋮ Necessary conditions for extended spectral decomposable multivalued linear operators ⋮ Functions and operators in real, quaternionic, and Cliffordian contexts ⋮ Relationships between perturbations of a linear relation and its operator part ⋮ Decomposability and local spectral properties of a normal linear relation ⋮ COMPACT LINEAR RELATIONS AND THEIR SPECTRAL PROPERTIES KESHAV RAJ ACHARYA AND MATT MCBRIDE ⋮ Sufficient conditions for extended spectral decomposable multi-valued linear operators ⋮ The Gearhart-Prüss theorem for a class of degenerate semigroups of operators ⋮ Spectral decomposition of normal operator in real Hilbert space ⋮ On completeness of spectral subspaces of linear relations and ordered pairs of linear operators ⋮ Harmonic Analysis of Nonquasianalytic Operators in a Real Banach Space ⋮ A generalized Fourier method for the system of first-order differential equations with an involution and a group of operators ⋮ Harmonic analysis of some classes of linear operators on a real Banach space ⋮ Properties of linear relations in Banach spaces ⋮ Spectral properties of first-order differential operators with an involution and groups of operators ⋮ Ascent, essential ascent, descent and essential descent for a linear relation in a linear space ⋮ On the range of upper triangular relation matrices

Cites Work

• Geometric theory of semilinear parabolic equations
• One-Parameter Semigroups for Linear Evolution Equations
• Representation theory for Banach algebras, Abelian groups, and semigroups in the spectral analysis of linear operators
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral theory of linear relations on real Banach spaces