In the paper spectral theory and functional calculus of a pair of perturbed linear operators acting from one complex Banach space X to another Y is built. As distinct from the spectrum of a bounded operator acting in one space in this case the spectrum of a pair of operators (A,B) from X to Y can be for instance an unbounded set. Besides that the spectrum σ(A,B) can be an empty set. Mathematics Subject Classification: primary 47G99, secondary 47A9
Using a generalized Sherman-Morrison-Woodbury theorem for linear operators, we establish a relation ...
AbstractLet (B0, B1) be an interpolation pair of Banach spaces, and let T: Bj → Bj be a bounded line...
Abstract We study how the spectrum of a closed linear operator on a complex Banach space changesunde...
In the paper spectral theory and functional calculus of a pair of perturbed linear operators acting ...
<span lang="EN-US">Let X and Y two complex Banach spaces and (A,B) a pair of bounded linear</span> o...
Abstract. Ordered pairs of linear operators (A,B) from Banach space L (X;Y) of the linear bounded op...
This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectra...
The primarily objective of the book is to serve as a primer on the theory of bounded linear operator...
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements i...
Abstract. The role of spectral theory of linear operators in qualitative theory of ordinary differen...
The paper studies spectral sets of elements of Banach algebras as the zeros of holomorphic functions...
If T is a bounded linear operator on some Banach space and T has a bounded extension T on another sp...
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the...
Abstract. Let T be a completely nonunitary contraction on a Hilbert space H and assume that the spec...
Functional analysis is a central subject of mathematics with applications in many areas of geometry,...
Using a generalized Sherman-Morrison-Woodbury theorem for linear operators, we establish a relation ...
AbstractLet (B0, B1) be an interpolation pair of Banach spaces, and let T: Bj → Bj be a bounded line...
Abstract We study how the spectrum of a closed linear operator on a complex Banach space changesunde...
In the paper spectral theory and functional calculus of a pair of perturbed linear operators acting ...
<span lang="EN-US">Let X and Y two complex Banach spaces and (A,B) a pair of bounded linear</span> o...
Abstract. Ordered pairs of linear operators (A,B) from Banach space L (X;Y) of the linear bounded op...
This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectra...
The primarily objective of the book is to serve as a primer on the theory of bounded linear operator...
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements i...
Abstract. The role of spectral theory of linear operators in qualitative theory of ordinary differen...
The paper studies spectral sets of elements of Banach algebras as the zeros of holomorphic functions...
If T is a bounded linear operator on some Banach space and T has a bounded extension T on another sp...
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the...
Abstract. Let T be a completely nonunitary contraction on a Hilbert space H and assume that the spec...
Functional analysis is a central subject of mathematics with applications in many areas of geometry,...
Using a generalized Sherman-Morrison-Woodbury theorem for linear operators, we establish a relation ...
AbstractLet (B0, B1) be an interpolation pair of Banach spaces, and let T: Bj → Bj be a bounded line...
Abstract We study how the spectrum of a closed linear operator on a complex Banach space changesunde...