Results 41 to 50 of about 377 (61)

Adaptive deterministic dyadic grids on spaces of homogeneous type

, 2014
In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation.
Lechner, Richard, Passenbrunner, Markus
core   +1 more source

Geometry of Lebesgue-Bochner function spaces—smoothness

, 1973
There exist real Banach spaces E such that the norm in E is of class C' away from zero; however, for any p, I < p < oo, the norm in the Lebesgue-Bochner function space LP(E, ,u) is not even twice differentiable away from zero.
I. E. Leonard, K. Sundaresan
semanticscholar   +1 more source

Nowhere Weak Differentiability of the Pettis Integral

, 1994
For an arbitrary infinite-dimensional Banach space $\X$, we construct examples of strongly-measurable $\X$-valued Pettis integrable functions whose indefinite Pettis integrals are nowhere weakly differentiable; thus, for these functions the Lebesgue ...
Dilworth, Stephen J., Girardi, Maria
core   +3 more sources

(q, p)-Mixing Bloch maps

Demonstratio Mathematica
As a Bloch variant of (q,p)\left(q,p)-mixing linear operators, we introduce the notion of (q,p)\left(q,p)-mixing Bloch maps. We prove Pietsch’s domination theorem and Maurey’s splitting theorem in this Bloch context, following the corresponding results ...
Jiménez-Vargas Antonio, Ruiz-Casternado David   +1 more
doaj   +1 more source

Perturbations of isometries between Banach spaces

, 2011
We prove a very general theorem concerning the estimation of the expression $\|T(\frac{a+b}{2}) - \frac{Ta+Tb}{2}\|$ for different kinds of maps $T$ satisfying some general perurbated isometry condition. It can be seen as a quantitative generalization of
Gorak, Rafal
core   +1 more source

(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

TRANS-SEPARABILITY IN SPACES OF CONTINUOUS VECTOR-VALUED FUNCTIONS

, 2004
Let X be a completely regular Hausdorff space and E a Hausdorff topological vector space (TVS). In this note, we study the notion of trans-separability for certain subspaces of Cb(X, E) endowed with the c-compact-open and some related topologies.
L. Khan
semanticscholar   +1 more source

Remark on the Daugavet property for complex Banach spaces

Demonstratio Mathematica
In this article, we study the Daugavet property and the diametral diameter two properties (DD2Ps) in complex Banach spaces. The characterizations for both Daugavet and Δ\Delta -points are revisited in the context of complex Banach spaces. We also provide
Lee Han Ju, Tag Hyung-Joon
doaj   +1 more source

Optimal transport of vector measures. [PDF]

Calc Var Partial Differ Equ, 2021
Ciosmak KJ.
europepmc   +1 more source

A note on strong extreme and strongly exposed points in Bochner ^{}-spaces

, 1985
P. Greim
semanticscholar   +1 more source