Operators whose adjoints are quasi p-nuclear

J. M. Delgado; C. Piñeiro; E. Serrano

Displaying similar documents to “Operators whose adjoints are quasi p-nuclear”

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

S. Kwapień (1970)

Studia Mathematica

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Entropy numbers of r-nuclear operators between $L_{p}$ spaces

Bernd Carl (1983)

Studia Mathematica

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On Characterizations of Nuclear Spaces and Quasi-Integral Operators.

H. Millington (1974)

Mathematische Annalen

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Tensor products and $γ_{0}$ -nuclear spaces in $p$ -adic analysis

A.K. Katsaras (1995)

Annales mathématiques Blaise Pascal

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Bessaga's conjecture in unstable Köthe spaces and products

Zefer Nurlu, Jasser Sarsour (1993)

Studia Mathematica

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Let F be a complemented subspace of a nuclear Fréchet space E. If E and F both have (absolute) bases $(e_{n})$ resp. $(f_{n})$ , then Bessaga conjectured (see [2] and for a more general form, also [8]) that there exists an isomorphism of F into E mapping $f_{n}$ to $t_{n} e_{π (k_{n})}$ where $(t_{n})$ is a scalar sequence, π is a permutation of ℕ and $(k_{n})$ is a subsequence of ℕ. We prove that the conjecture holds if E is unstable, i.e. for some base of decreasing zero-neighborhoods $(U_{n})$ consisting of absolutely convex sets one has ∃s ∀p ∃q...

On multilinear generalizations of the concept of nuclear operators

Dahmane Achour, Ahlem Alouani (2010)

Colloquium Mathematicae

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This paper introduces the class of Cohen p-nuclear m-linear operators between Banach spaces. A characterization in terms of Pietsch's domination theorem is proved. The interpretation in terms of factorization gives a factorization theorem similar to Kwapień's factorization theorem for dominated linear operators. Connections with the theory of absolutely summing m-linear operators are established. As a consequence of our results, we show that every Cohen p-nuclear (1 < p ≤ ∞ ) m-linear...

Bilinear forms and nuclearity

Hans Jarchow, Kamil John (1994)

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Power series spaces $Λ_{k} (a)$ of finite type and related nuclearities

M. Ramanujan, T. Terzioglu (1975)

Studia Mathematica

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