Results 1 to 10 of about 218 (47)

Multiplication operators on the Banach algebra of bounded Φ-variation functions on compact subsets of ℂ

Demonstratio Mathematica, 2022
Let AΦ(K){{\mathbb{A}}}_{\Phi }\left({\bf{K}}) be the Banach algebra of bounded Φ\Phi -variation functions defined on a compact set K{\bf{K}} in the complex plane, hh a function defined on K{\bf{K}}, and Mh{M}_{h} a multiplication operator induced by hh.
Bracamonte Mireya, Ereú Jurancy, Marchan Luz   +2 more
doaj   +1 more source

Compact Hermitian operators on projective tensor products of Banach algebras

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 167-178, 2002., 2002
Let U and V be, respectively, an infinite‐ and a finite‐dimensional complex Banach algebras, and let U⊗pV be their projective tensor product. We prove that (i) every compact Hermitian operator T1 on U gives rise to a compact Hermitian operator T on U⊗pV having the properties that ‖T1‖ = ‖T‖ and sp(T1) = sp(T); (ii) if U and V are separable and U has ...
T. K. Dutta, H. K. Nath, H. K. Sarmah
wiley   +1 more source

Translation-finite sets, and weakly compact derivations from $\lp{1}(\Z_+)$ to its dual [PDF]

, 2005
We characterize those derivations from the convolution algebra $\ell^1({\mathbb Z}_+)$ to its dual which are weakly compact. In particular, we provide examples which are weakly compact but not compact.
D. Slepian, H. Yamamoto, S.I. Gel’fand
core   +1 more source

Computable bounds of ${\ell}^2$-spectral gap for discrete Markov chains with band transition matrices

, 2015
We analyse the $\ell^2(\pi)$-convergence rate of irreducible and aperiodic Markov chains with $N$-band transition probability matrix $P$ and with invariant distribution $\pi$.
Hennion, James Ledoux, Loï Hervé
core   +3 more sources

Operator realizations of non-commutative analytic functions

Forum of Mathematics, Sigma
A realization is a triple, $(A,b,c)$ , consisting of a $d-$ tuple, $A= (A_1, \cdots , A_d )$ , $d\in \mathbb {N}$ , of bounded linear operators on a separable, complex Hilbert space, $\mathcal {H}$ , and vectors $b,c \in
Méric L. Augat, Robert T. W. Martin, Eli Shamovich   +2 more
doaj   +1 more source

Idempotent vector spaces and their linear transformations

Concrete Operators
This article extends topics about linear algebra and operator theoretic linear transformations on complex vector spaces to those on bicomplex spaces.
Johnston William, Wahl Rebecca G.
doaj   +1 more source

Spectral properties of compact normal quaternionic operators

, 2014
General, especially spectral, features of compact normal operators in quaternionic Hilbert spaces are studied and some results are established which generalize well-known properties of compact normal operators in complex Hilbert spaces.
Ghiloni, Riccardo, Moretti, Valter, Perotti, Alessandro   +2 more
core   +1 more source

Weakly compact composition operators on spaces of Lipschitz functions [PDF]

, 2014
Let $X$ be a pointed compact metric space. Assuming that $\mathrm{lip}_0(X)$ has the uniform separation property, we prove that every weakly compact composition operator on spaces of Lipschitz functions $\mathrm{Lip}_0(X)$ and $\mathrm{lip}_0(X)$ is ...
Jiménez-Vargas, A.
core  

(p, q)-Compactness in spaces of holomorphic mappings

Open Mathematics
Based on the concept of (p,q)\left(p,q)-compact operator for p∈[1,∞]p\in \left[1,\infty ] and q∈[1,p*]q\in \left[1,{p}^{* }], we introduce and study the notion of (p,q)\left(p,q)-compact holomorphic mapping between Banach spaces.
Jiménez-Vargas Antonio, Ruiz-Casternado David   +1 more
doaj   +1 more source