Wyniki wyszukiwania

1

Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions

100%

Berrios S., Botelho G.

Studia Mathematica

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2012

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tom 208

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nr 2

97-116

EN

Given an operator ideal ℐ, a Banach space E has the ℐ-approximation property if the identity operator on E can be uniformly approximated on compact subsets of E by operators belonging to ℐ. In this paper the ℐ-approximation property is studied in projective tensor products, spaces of linear functionals, spaces of linear operators/homogeneous polynomials, spaces of holomorphic functions and their preduals.

2

Distinguished subspaces of $L_{p}$ of maximal dimension

71%

Botelho G., Cariello D., Fávaro V., Pellegrino D., Seoane-Sepúlveda J.

Studia Mathematica

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2013

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tom 215

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nr 3

261-280

EN

Let (Ω,Σ,μ) be a measure space and 1 < p < ∞. We show that, under quite general conditions, the set $L_{p}(Ω) - ⋃_{1≤q

3

When is the Haar measure a Pietsch measure for nonlinear mappings?

71%

Botelho G., Pellegrino D., Rueda P., Santos J., Seoane-Sepúlveda J.

Studia Mathematica

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2012

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tom 213

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nr 3

275-287

EN

We show that, as in the linear case, the normalized Haar measure on a compact topological group G is a Pietsch measure for nonlinear summing mappings on closed translation invariant subspaces of C(G). This answers a question posed to the authors by J. Diestel. We also show that our result applies to several well-studied classes of nonlinear summing mappings. In the final section some problems are proposed.

Ograniczanie wyników

3 Studia Mathematica

3 Botelho G.

2 Pellegrino D.

2 Seoane-Sepúlveda J.

1 Berrios S.

1 Cariello D.

1 Fávaro V.

1 Rueda P.

1 Santos J.

1 2013

2 2012

Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions

Distinguished subspaces of $L_{p}$ of maximal dimension

When is the Haar measure a Pietsch measure for nonlinear mappings?