Results 61 to 70 of about 169 (75)

A note on causality in Banach spaces [PDF]

arXiv, 2013
In this note we provide examples that show that a common notion of causality for linear operators on Banach spaces does not carry over to the closure of the respective operators. We provide an alternative definition for causality, which is equivalent to the usual definition for closed linear operators but does carry over to the closure.
arxiv  

Equidistribution of Neumann data mass on simplices and a simple inverse problem [PDF]

arXiv, 2017
In this paper we study the behaviour of the Neumann data of Dirichlet eigenfunctions on simplices. We prove that the $L^2$ norm of the (semi-classical) Neumann data on each face is equal to $2/n$ times the $(n-1)$-dimensional volume of the face divided by the volume of the simplex. This is a generalization of \cite{Chr-tri} to higher dimensions.
arxiv  

Closed ideals of operators acting on some families of sequence spaces [PDF]

arXiv, 2018
We study the lattice of closed ideals in the algebra of continuous linear operators acting on $p$th Tandori and $p'$th Ces\`{a}ro sequence spaces, $1\leqslant p<\infty$, which we show are isomorphic to the classical sequence spaces $(\oplus_{n=1}^\infty\ell_\infty^n)_p$ and $(\oplus_{n=1}^\infty\ell_1^n)_{p'}$, respectively.
arxiv  

Extremely non-complex Banach spaces

Open Mathematics, 2011
Martín Miguel, Merí Javier
doaj   +1 more source

Some inequalities for log-convex functions of selfadjoint operators on quaternionic Hilbert spaces [PDF]

arXiv
In this paper, some Jensen's type inequalities between quaternionic bounded selfadjoint operators on quaternionic Hilbert spaces are proved, using a log-convex function. Also, by applying a specific log-convex function, some particular cases of operator inequalities are obtained.
arxiv  

Perturbation properties of some classes of operators [PDF]

, 2008
Schmoeger, Christoph
core   +2 more sources

A new approach to $\gamma$-bounded representations

Let $X$ be a Banach space, let $(\Omega,\mu)$ be a $\sigma$-finite measure space and let $A,B\colon\Omega\to B(X)$ be strongly measurable $\gamma$-bounded functions.
Merdy, Christian Le
core  

Inequalities for quantum f-divergence of convex functions and matrices [PDF]

, 2018
Dragomir, Sever S
core   +1 more source

On some inequalities for numerical radius of operators in Hilbert Spaces [PDF]

, 2017
Dragomir, Sever S
core   +1 more source

Power-bounded operators with invertible characteristic function [PDF]

, 1975
Ghatage, Pratibha G.
core