Absolutely summing operators between Banach spaces of finite cotype.
E. A. Sánchez Pérez (2000)
Extracta Mathematicae
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Displaying similar documents to “On some matrix Inequalities in Banach Spaces”
Absolutely summing operators between Banach spaces of finite cotype.
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We suggest a method of renorming of spaces of operators which are suitably approximable by sequences of operators from a given class. Further we generalize J. Johnsons’s construction of ideals of compact operators in the space of bounded operators and observe e.g. that under our renormings compact operators are -ideals in the: space of 2-absolutely summing operators or in the space of operators factorable through a Hilbert space.
Ideals of extendable and liftable operators.
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Se introducen los ideales de operadores que admiten extensión o levantamiento y se presenta una nueva aproximación al estudio de la escisión de sucesiones exactas cortas de espacios de Banach. Se considera la maximalidad de estos ideales y se investiga si son cerrados respecto de los límites puntuales acotados. Se resumen algunos ejemplos y se clarifica el papel de los espacios L y L.
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