Add to ORKGAbstract. It is well known that the identity is an operator with the following property: if the operator, initially defined on an n-dimensional Banach space V, can be extended to any Banach space with norm 1, then V is isometric to (n) ∞. We show that the set of all such operators consists precisely of those with spectrum lying in the unit circle. This result answers a question raised in [5] for complex spaces. 1
In 1980, J. Bourgain and F. Delbaen constructed two classes and of ∞-spaces each exhibiting many ...
Introduction. The spectral mapping theorem states, among other things, that if f is an analytic func...
The paper studies spectral sets of elements of Banach algebras as the zeros of holomorphic functions...
It is well known that the identity is an operator with the following property: if the operator, init...
AbstractIt is well known that, if an identity operator on an n-dimensional Banach space V can be ext...
AbstractIt is well known that, if the identity operator on an n-dimensional Banach space V can be ex...
In this paper we investigate inverse eigenvalue problems for finite spectrum linear isometries on co...
In this thesis we derive necessary and sufficient conditions for the isometric equivalence of classe...
AbstractLet T be a bounded linear operator on a complex banach space X. The following essential spec...
We introduce the spectral property (R), for bounded linear operators defined on a Banach space, whi...
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements i...
AbstractWe find necessary and sufficient conditions for a Banach space operator T to satisfy the gen...
Let γ be a unimodular complex number, and let k be an integer. Then γAk is an isometry for any isome...
, where A ∈ (X), B ∈ (Y), C ∈ (Y,X), and X, Y are complex Banach spaces. We prove that (SA ∗ ∩SB)∪σ(...
AbstractLet Y be a closed subspace of Lp(μ), where μ is an arbitrary measure and 1 < p < ∞. It is sh...
In 1980, J. Bourgain and F. Delbaen constructed two classes and of ∞-spaces each exhibiting many ...
Introduction. The spectral mapping theorem states, among other things, that if f is an analytic func...
The paper studies spectral sets of elements of Banach algebras as the zeros of holomorphic functions...
It is well known that the identity is an operator with the following property: if the operator, init...
AbstractIt is well known that, if an identity operator on an n-dimensional Banach space V can be ext...
AbstractIt is well known that, if the identity operator on an n-dimensional Banach space V can be ex...
In this paper we investigate inverse eigenvalue problems for finite spectrum linear isometries on co...
In this thesis we derive necessary and sufficient conditions for the isometric equivalence of classe...
AbstractLet T be a bounded linear operator on a complex banach space X. The following essential spec...
We introduce the spectral property (R), for bounded linear operators defined on a Banach space, whi...
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements i...
AbstractWe find necessary and sufficient conditions for a Banach space operator T to satisfy the gen...
Let γ be a unimodular complex number, and let k be an integer. Then γAk is an isometry for any isome...
, where A ∈ (X), B ∈ (Y), C ∈ (Y,X), and X, Y are complex Banach spaces. We prove that (SA ∗ ∩SB)∪σ(...
AbstractLet Y be a closed subspace of Lp(μ), where μ is an arbitrary measure and 1 < p < ∞. It is sh...
In 1980, J. Bourgain and F. Delbaen constructed two classes and of ∞-spaces each exhibiting many ...
Introduction. The spectral mapping theorem states, among other things, that if f is an analytic func...
The paper studies spectral sets of elements of Banach algebras as the zeros of holomorphic functions...