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

B. Carl

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Absolutely- $p$ -summing operators in $ℒ_{r}$ -spaces I

A. Pietsch (1970-1971)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Absolutely- $p$ -summing operators in $ℒ_{r}$ -spaces II

A. Pietsch (1970-1971)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Besov spaces and 2-summing operators

M. A. Fugarolas (2004)

Colloquium Mathematicae

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Let Π₂ be the operator ideal of all absolutely 2-summing operators and let $I_{m}$ be the identity map of the m-dimensional linear space. We first establish upper estimates for some mixing norms of $I_{m}$ . Employing these estimates, we study the embedding operators between Besov function spaces as mixing operators. The result obtained is applied to give sufficient conditions under which certain kinds of integral operators, acting on a Besov function space, belong to Π₂; in this context, we also...

Modulation space estimates for multilinear pseudodifferential operators

Árpád Bényi, Kasso A. Okoudjou (2006)

Studia Mathematica

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We prove that for symbols in the modulation spaces $ℳ^{p, q}$ , p ≥ q, the associated multilinear pseudodifferential operators are bounded on products of appropriate modulation spaces. In particular, the symbols we study here are defined without any reference to smoothness, but rather in terms of their time-frequency behavior.

Absolutely continuous linear operators on Köthe-Bochner spaces

(2011)

Banach Center Publications

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Let E be a Banach function space over a finite and atomless measure space (Ω,Σ,μ) and let $(X, | | \cdot | |_{X})$ and $(Y, | | \cdot | |_{Y})$ be real Banach spaces. A linear operator T acting from the Köthe-Bochner space E(X) to Y is said to be absolutely continuous if $| | T (1_{A ₙ} f) {| |}_{Y} \to 0$ whenever μ(Aₙ) → 0, (Aₙ) ⊂ Σ. In this paper we examine absolutely continuous operators from E(X) to Y. Moreover, we establish relationships between different classes of linear operators from E(X) to Y.

A remark on p-absolutely summing operators in $l_{r}$ -spaces

S. Kwapień (1970)

Studia Mathematica

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Multiple summing operators on $l_{p}$ spaces

Dumitru Popa (2014)

Studia Mathematica

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We use the Maurey-Rosenthal factorization theorem to obtain a new characterization of multiple 2-summing operators on a product of $l_{p}$ spaces. This characterization is used to show that multiple s-summing operators on a product of $l_{p}$ spaces with values in a Hilbert space are characterized by the boundedness of a natural multilinear functional (1 ≤ s ≤ 2). We use these results to show that there exist many natural multiple s-summing operators $T : l_{4 / 3} \times l_{4 / 3} \to l ₂$ such that none of the associated linear operators...

On an inclusion between operator ideals

Manuel A. Fugarolas (2011)

Czechoslovak Mathematical Journal

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Let $1 \leq q < p < \infty$ and $1 / r : = 1 / p max (q / 2, 1)$ . We prove that $ℒ_{r, p}^{(c)}$ , the ideal of operators of Geľfand type $l_{r, p}$ , is contained in the ideal $Π_{p, q}$ of $(p, q)$ -absolutely summing operators. For $q > 2$ this generalizes a result of G. Bennett given for operators on a Hilbert space.

A remark on (s,t)-absolutely summing operators in $L_{p}$ -spaces

Nicole Tomczak (1970)

Studia Mathematica

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(Φ, φ)-absolutely summing operators.

Nicolae Tita (1980)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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On complemented copies of $c_{0}$ in spaces of operators, II

Giovanni Emmanuele (1994)

Commentationes Mathematicae Universitatis Carolinae

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We show that as soon as $c_{0}$ embeds complementably into the space of all weakly compact operators from $X$ to $Y$ , then it must live either in $X^{*}$ or in $Y$ .

Displaying similar documents to “A remark on p-integral and p-absolutely summing operators form l u into l v ”

Displaying similar documents to “A remark on p-integral and p-absolutely summing operators form $l_{u}$ into $l_{v}$ ”