Factoring Rosenthal operators.
Teresa Alvarez (1988)
Publicacions Matemàtiques
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In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l.
Displaying similar documents to “On operators induced by weakly 2-singular kernels”
Factoring Rosenthal operators.
Composition of (E,2)-summing operators
Andreas Defant, Mieczysław Mastyło (2003)
Studia Mathematica
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The Banach operator ideal of (q,2)-summing operators plays a fundamental role within the theory of s-number and eigenvalue distribution of Riesz operators in Banach spaces. A key result in this context is a composition formula for such operators due to H. König, J. R. Retherford and N. Tomczak-Jaegermann. Based on abstract interpolation theory, we prove a variant of this result for (E,2)-summing operators, E a symmetric Banach sequence space.
On operator ideals determined by sequences.
Manuel González, Antonio Martinón (1990)
Extracta Mathematicae
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Uncomplementability of spaces of compact operators in larger spaces of operators
Giovanni Emmanuele, Kamil John (1997)
Czechoslovak Mathematical Journal
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In the first part of the paper we prove some new result improving all those already known about the equivalence of the nonexistence of a projection (of any norm) onto the space of compact operators and the containment of in the same space of compact operators. Then we show several results implying that the space of compact operators is uncomplemented by norm one projections in larger spaces of operators. The paper ends with a list of questions naturally rising from old results and...
Banach spaces of compact operators
Charles E. Cleaver (1972)
Colloquium Mathematicae
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The differences of inclusion map operators between rearrangement invariant spaces on finite and sigma-finite measure spaces.
S. Ya. Novikov (1997)
Collectanea Mathematica
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A remark on (s,t)-absolutely summing operators in -spaces
Nicole Tomczak (1970)
Studia Mathematica
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Absolutely (∞,p) summing and weakly-p-compact operators in C(K).
Jesús M. Fernández Castillo (1990)
Extracta Mathematicae
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In this note we review some results about: 1. Representation of Absolutely (∞,p) summing operators (∏∞,p) in C(K,E) 2. Dunford-Pettis properties.
On operators factorizable through space
Stanislaw Kwapien (1972)
Mémoires de la Société Mathématique de France
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The Grothendieck-Pietsch domination principle for nonlinear summing integral operators
Karl Lermer (1998)
Studia Mathematica
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We transform the concept of p-summing operators, 1≤ p < ∞, to the more general setting of nonlinear Banach space operators. For 1-summing operators on B(Σ,X)-spaces having weak integral representations we generalize the Grothendieck-Pietsch domination principle. This is applied for the characterization of 1-summing Hammerstein operators on C(S,X)-spaces. For p-summing Hammerstein operators we derive the existence of control measures and p-summing extensions to B(Σ,X)-spaces. ...