Operators whose tensor powers are $\varepsilon $-$\pi $-continuous

Kamil John

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Some remarks on (p,q)-absolutely summing operators in $l_{p}$ -spaces

S. Kwapień (1968)

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Inductive limit of operators and its applications

J. Janas (1988)

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Global approximation by modified Baskakov type operators.

Vijay Gupta (1995)

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In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called Ditzian-Totik modulus of smoothness.

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On operator ideals related to (p,σ)-absolutely continuous operators

J. López Molina, E. Sánchez Pérez (2000)

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We study tensor norms and operator ideals related to the ideal $P_{p, σ}$ , 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with $P_{p, σ}$ (in the sense of Defant and Floret), we characterize the ${(α^{'})}^{t}$ -nuclear and ${(α^{'})}^{t}$ - integral operators by factorizations by means of the composition of the inclusion map $L^{r} (μ) \to L^{1} (μ) + L^{p} (μ)$ with a diagonal operator $B_{w} : L^{\infty} (μ) \to L^{r} (μ)$ , where r is the conjugate exponent of p’/(1-σ). As an application we study the reflexivity of the components...

Compact AC-operators

Ian Doust, Byron Walden (1996)

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We prove that compact AC-operators have a representation as a combination of disjoint projections which mirrors that for compact normal operators. We also show that unlike arbitrary AC-operators, compact AC-operators admit a unique splitting into real and imaginary parts, and that these parts must necessarily be compact.

A characterization of Hilbert-Schmidt operators

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Displaying similar documents to “Operators whose tensor powers are ε - π -continuous”

Displaying similar documents to “Operators whose tensor powers are $ε$ - $π$ -continuous”