Page 1 Next

## Displaying 1 – 20 of 498

Showing per page

### $\left(r,p\right)$-absolutely summing operators on the space $C\left(T,X\right)$ and applications.

Abstract and Applied Analysis

### ${ℒ}_{\pi }$-Spaces and cone summing operators

Studia Mathematica

### 2-summing multiplication operators

Studia Mathematica

Let 1 ≤ p < ∞, $={\left(Xₙ\right)}_{n\in ℕ}$ be a sequence of Banach spaces and ${l}_{p}\left(\right)$ the coresponding vector valued sequence space. Let $={\left(Xₙ\right)}_{n\in ℕ}$, $={\left(Yₙ\right)}_{n\in ℕ}$ be two sequences of Banach spaces, $={\left(Vₙ\right)}_{n\in ℕ}$, Vₙ: Xₙ → Yₙ, a sequence of bounded linear operators and 1 ≤ p,q < ∞. We define the multiplication operator ${M}_{}:{l}_{p}\left(\right)\to {l}_{q}\left(\right)$ by ${M}_{}\left({\left(xₙ\right)}_{n\in ℕ}\right):={\left(Vₙ\left(xₙ\right)\right)}_{n\in ℕ}$. We give necessary and sufficient conditions for ${M}_{}$ to be 2-summing when (p,q) is one of the couples (1,2), (2,1), (2,2), (1,1), (p,1), (p,2), (2,p), (1,p), (p,q); in the last case 1 < p < 2, 1 < q < ∞.

### A class of operators from a Banach lattice into a Banach space.

Collectanea Mathematica

### A counterexample in operator theory

Publicacions Matemàtiques

The purpose of this note is to give an explicit construction of a bounded operator T acting on the space L2[0,1] such that |Tf(x)| ≤ ∫01 |f(y)| dy for a.e. x ∈ [0.1], and, nevertheless, ||T||Sp = ∞ for every p &lt; 2. Here || ||Sp denotes the norm associated to the Schatten-Von Neumann classes.

### A criterion for compositions of (p,q)-absolutely summing operators to be compact

Studia Mathematica

### A formula for the eigenvalues of a compact operator

Studia Mathematica

### A Fredholm Determinant Theory for p-Summing Maps in Banach Spaces.

Mathematische Annalen

### A Generalization of Echelon Spaces.

Collectanea Mathematica

### A generalization of Khintchine's inequality and its application in the theory of operator ideals

Studia Mathematica

### A Minkowski-type inequality for the Schatten norm.

JIPAM. Journal of Inequalities in Pure &amp; Applied Mathematics [electronic only]

### A note on absolutely P-summing operators.

Collectanea Mathematica

### A note on p-nuclear operators.

Collectanea Mathematica

### A note on the paper of Shütt "Unconditionality in tensor products''

Colloquium Mathematicae

### A note on uniformly dominated sets of summing operators.

International Journal of Mathematics and Mathematical Sciences

### A Remark on Normal Derivations of Hilbert-Schmidt Type.

Monatshefte für Mathematik

### A remark on (p, q)-absolutely summing operators in ${l}^{p}$-spaces

Colloquium Mathematicae

### A remark on p-integral and p-absolutely summing operators form ${l}_{u}$ into ${l}_{v}$

Studia Mathematica

### A remark on the range of elementary operators

Czechoslovak Mathematical Journal

Let $L\left(H\right)$ denote the algebra of all bounded linear operators on a separable infinite dimensional complex Hilbert space $H$ into itself. Given $A\in L\left(H\right)$, we define the elementary operator ${\Delta }_{A}:L\left(H\right)⟶L\left(H\right)$ by ${\Delta }_{A}\left(X\right)=AXA-X$. In this paper we study the class of operators $A\in L\left(H\right)$ which have the following property: $ATA=T$ implies $A{T}^{*}A={T}^{*}$ for all trace class operators $T\in {C}_{1}\left(H\right)$. Such operators are termed generalized quasi-adjoints. The main result is the equivalence between this character and the fact that the ultraweak closure of the range of ${\Delta }_{A}$ is closed under taking...

### A simple characterization of the trace-class of operators.

International Journal of Mathematics and Mathematical Sciences

Page 1 Next