Banach ideals of operators with applications to the finite dimensional structure of Banach spaces
Copyright policy )Banach ideals of operators with applications to the finite dimensional structure of Banach spaces
We present a few applications of the theory of Banach ideals of operators. In particular, we give operator characterizations of the ℒ p spaces, compute the relative projection constant of isometric embeddings of Hilbert spaces inL p -spaces, and show that Π1 (E, F), the space of absolutely summing operators, is reflexive ifE andF are reflexive andE has the approximation property.
- University of Florida United States
- Louisiana State University United States
Normed linear spaces and Banach spaces; Banach lattices, Groups and semigroups of linear operators, their generalizations and applications, Spectrum, resolvent, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Normed linear spaces and Banach spaces; Banach lattices, Groups and semigroups of linear operators, their generalizations and applications, Spectrum, resolvent, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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