Results 21 to 30 of about 175 (30)

(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

Subideals of operators II

, 2012
A subideal (also called a J-ideal) is an ideal of a B(H)-ideal J. This paper is the sequel to Subideals of operators where a complete characterization of principal and then finitely generated J-ideals were obtained by first generalizing the 1983 work of ...
Patnaik, S., Weiss, G.
core   +1 more source

On $(p,r)$-null sequences and their relatives [PDF]

, 2014
Let $1\leq p < \infty$ and $1\leq r \leq p^\ast$, where $p^\ast$ is the conjugate index of $p$. We prove an omnibus theorem, which provides numerous equivalences for a sequence $(x_n)$ in a Banach space $X$ to be a $(p,r)$-null sequence.
Ain, Kati, Oja, Eve
core  

Hybrid Normed Ideal Perturbations of n-tuples of Operators I

, 2017
In hybrid normed ideal perturbations of $n$-tuples of operators, the normed ideal is allowed to vary with the component operators. We begin extending to this setting the machinery we developed for normed ideal perturbations based on the modulus of ...
Voiculescu, Dan-Virgil
core   +1 more source

(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

CLASSES OF OPERATOR-SMOOTH FUNCTIONS. I. OPERATOR-LIPSCHITZ FUNCTIONS

Proceedings of the Edinburgh Mathematical Society, 2005
E. Kissin, V. Shulman
semanticscholar   +1 more source

CLASSES OF OPERATOR-SMOOTH FUNCTIONS. III. STABLE FUNCTIONS AND FUGLEDE IDEALS

Proceedings of the Edinburgh Mathematical Society, 2005
E. Kissin, V. Shulman
semanticscholar   +1 more source

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Mini-Workshop: Modern Applications of $s$-numbers and Operator Ideals

, 2015
The main aim of this mini-workshop was to present and discuss some modern applications of the functional-analytic concepts of s-numbers and operator ideals in areas like Numerical Analysis, Theory of Function Spaces, Signal Processing, Approximation ...
F. Cobos, D. Haroske, T. Kühn, T. Ullrich   +3 more
semanticscholar   +1 more source

Vestigia investiganda

, 2003
Trace functionals on ideals in the algebra B(H) of bounded operators on a separable Hilbert space H are constructed and studied. 2000 Math. Subj. Class. Primary: 47L20; Secondary: 46L80, 81R60.
Vestigia Investiganda, M. Wodzicki, Yuri Ivanovich, M. Wodzicki   +3 more
semanticscholar   +1 more source

Relationship between Sublinear Operators and their Subdifferentials for Certain Classes of Lipschitz Summability

International Journal of Applied Mathematics and Simulation
Let SB(X, Y ) be the set of all bounded sublinear operators from a Banach space X into a complete Banach lattice Y ;which is a pointed convex cone not salient in Lip0(X, Y ).
Athmane Ferradi, L. Mezrag
semanticscholar   +1 more source