Results 41 to 50 of about 601 (93)
Monotone and convex H*‐algebra valued functions
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995 Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley +1 more source
Forum of Mathematics, Pi, 2016 For every $p\in (0,\infty )$ we associate to every metric space $(X,d_{X})$
ASSAF NAOR, GIDEON SCHECHTMAN
doaj +1 more source
Distance estimates, norm of Hankel operators and related questions
, 2018 We consider Berezin symbols and Hankel operators on the Hardy space H2(D) over the unit disc D = {z ∈ C : |z| < 1} and give their some applications. Namely, we estimate in terms of Hankel operators and Berezin symbols the distances from a given operator ...
N. Altwaijry, A. Baazeem, M. Garayev
semanticscholar +1 more source
Abstract and Applied Analysis, Volume 1, Issue 2, Page 193-201, 1996., 1996 In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specific L q(μ)‐spaces, where μ is a Carleson measure on the complex unit disc. Characterizing absolutely q‐summing, absolutely continuous and q‐integral Carleson embeddings in terms of the underlying measure is our main topic. The presented
Helmut J. Heiming
wiley +1 more source
The Approximation Numbers of Hardy‐Type Operators on Trees
, 2000 The Hardy operator Ta on a tree Γ is defined by (Taf)(x):=v(x)∫axf(t)u(t)dtfor a,x∈Γ. Properties of Ta as a map from Lp(Γ) into itself are established for 1 ⩽ p ⩽ ∞.
William Desmond Evans +2 more
semanticscholar +1 more source
OPERATORS THAT ARE NUCLEAR WHENEVER THEY ARE NUCLEAR FOR A LARGER RANGE SPACE
Proceedings of the Edinburgh Mathematical Society, 2004 Let $X$ be a Banach space and let $Y$ be a closed subspace of a Banach space $Z$. The following theorem is proved. Assume that $X^*$ or $Z^*$ has the approximation property.
E. Oja
semanticscholar +1 more source
p‐representable operators in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 653-658, 1986., 1986 Let E and F be Banach spaces. An operator T ∈ L(E, F) is called p‐representable if there exists a finite measure μ on the unit ball, B(E*), of E* and a function g ∈ Lq(μ, F), , such that for all x ∈ E. The object of this paper is to investigate the class of all p‐representable operators.
Roshdi Khalil
wiley +1 more source
A NOTE ON P-SYMMETRIC OPERATORS
, 2016 Let L(H) denote the algebra of operators on a complex infinite dimensional Hilbert space H into itself. In this paper, we study the class of operators A ∈ L(H) which satisfy the following property, AT = TA implies AT ∗ = T ∗A for all T ∈ C1(H) (trace ...
S. Bouali +3 more
semanticscholar +1 more source
Cycles and 1‐Unconditional Matrices [PDF]
, 2001 We characterise the 1‐unconditional subsets (erc(r,c) ∈ I of the set of elementary matrices in the Schatten–von‐Neumann class Sp. The set of couples I must be the set of edges of a bipartite graph without cycles of even length 4 ⩽ p if p is an even ...
S. Neuwirth
semanticscholar +1 more source
Diagonalization of a self‐adjoint operator acting on a Hilbert module
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 669-675, 1985., 1985 For each bounded self‐adjoint operator T on a Hilbert module H over an H*‐algebra A there exists a locally compact space m and a certain A‐valued measure μ such that H is isomorphic to L2(μ) ⊗ A and T corresponds to a multiplication with a continuous function. There is a similar result for a commuting family of normal operators.
Parfeny P. Saworotnow
wiley +1 more source