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(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

(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

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  

Complete graphs: the space of simplicial cones, and their path tree representation

, 2017
Let $G$ be a complete graph with $n+1$ vertices. In a recent paper of the authors, it is shown that the path trees of the graph play a special role in the structure of the truncated powers and partition functions that are associated with the graph ...
Ron, Amos, Shengnan, Wang
core  

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

Trace-class perturbation and strong convergence: Wave operators revisited

, 2000
Jingbo Xia
semanticscholar   +1 more source

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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

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

, 2015
F. Cobos, D. Haroske, T. Kühn, T. Ullrich   +3 more
semanticscholar   +1 more source

Vestigia investiganda

, 2003
Vestigia Investiganda, M. Wodzicki, Yuri Ivanovich, M. Wodzicki   +3 more
semanticscholar   +1 more source