Results 41 to 50 of about 90,171 (132)
Symmetric polynomials on Banach spaces
A survey of general results about symmetric polynomials on Banach spaces and rearrangement-invariant function spaces and some new results in this area are given. Some applications to Banach algebras are represented.
I. V. Chernega
doaj
Toeplitz Operators on Abstract Hardy Spaces Built upon Banach Function Spaces
Let X be a Banach function space over the unit circle T and let H[X] be the abstract Hardy space built upon X. If the Riesz projection P is bounded on X and a∈L∞, then the Toeplitz operator Taf=P(af) is bounded on H[X].
Alexei Yu. Karlovich
doaj +1 more source
Monotonicity in Modular Function Spaces Equipped with O-norm
Modular function spaces are extensions of Lebesgue spaces and Orlicz spaces. We introduce Orlicz norm in Modular function spaces, and study the monotonicity in modular function spaces equipped with O-norm and L-norm.
HU Xuemei, CUI Yunan
doaj +1 more source
New Sequence Spaces and Function Spaces on Interval [0,1]
We study the sequence spaces and the spaces of functions defined on interval 0,1 in this paper. By a new summation method of sequences, we find out some new sequence spaces that are interpolating into spaces between ℓp and ℓq and function spaces that are
Cheng-Zhong Xu, Gen-Qi Xu
doaj +1 more source
APPROXIMATION IN BANACH ALGEBRAS OF VECTOR-VALUED FUNCTION SPACES
In this paper, we give a criterion for the density of a subspace of lip _{alpha} (X; S) when (X; d) is a compact metric space, S is a complex Banach space and 0 < alpha< 1. In the case where X = [a; b], we conclude that Lip1(X; S) is dense in lip _{alpha}
Kobra Esmaeili
doaj
Small Pre-Quasi Banach Operator Ideals of Type Orlicz-Cesáro Mean Sequence Spaces
In this paper, we give the sufficient conditions on Orlicz-Cesáro mean sequence spaces cesφ, where φ is an Orlicz function such that the class Scesφ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers which ...
Awad A. Bakery, Mustafa M. Mohammed
doaj +1 more source
BANACH FAMILIES AND THE IMPLICIT FUNCTION THEOREM [PDF]
We generalise the classical implicit function theorem (IFT) for a family of Banach spaces, with the resulting implicit function having derivatives that are locally Lipschitz to very strong operator norms.Banach spaces, Implicit Function ...
Mertens, Jean-Francois, Rubinchik, Anna
core
p-representable operators in Banach spaces
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), 1p+1q=1, such thatTx=∫B(E*)〈x,x*〉g(x*)dμ(x*)for all x∈E.
Roshdi Khalil
doaj +1 more source
Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas
Homogeneous closed PDO are constructed which are analogous to the powers of (absolute value of ) infinite dimensional Laplacian and acting in Banach spaces of complexvalued functions defined on function spaces over a field of p-adic numbers. For elements of
Nikolaj N Shamarov
doaj +3 more sources
Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces
Using Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function;
Chin-Tzong Pang +2 more
doaj +1 more source

