Page 1

Displaying 1 – 11 of 11

Showing per page

Un exemple d'ensembles absorbants non équivalents

Robert Cauty (1991)

Fundamenta Mathematicae

We give an example in the Hilbert space 2 of two subsets which are absorbing for the class of topologically complete spaces, but for which there exists no homeomorphism of 2 onto itself mapping one of these subsets onto the other.

Uniform Kadec-Klee property and nearly uniform convexity in Köthe-Bochner sequence spaces

Paweł Kolwicz (2003)

Bollettino dell'Unione Matematica Italiana

The uniformly Kadec-Klee property in Köthe-Bochner sequence spaces E X , where E is a Köthe sequence space and X is an arbitrary separable Banach space, is studied. Namely, the question of whether or not this geometric property lifts from X and E to E X is examined. It is settled affirmatively in contrast to the case when E is a Köthe function space. As a corollary we get criteria for E X to be nearly uniformly convex.

Uniqueness of unconditional basis of p ( c ) and p ( ) , 0 < p < 1

F. Albiac, C. Leránoz (2002)

Studia Mathematica

We prove that the quasi-Banach spaces p ( c ) and p ( ) (0 < p < 1) have a unique unconditional basis up to permutation. Bourgain, Casazza, Lindenstrauss and Tzafriri have previously proved that the same is true for the respective Banach envelopes ( c ) and ℓ₁(ℓ₂). They used duality techniques which are not available in the non-locally convex case.

Currently displaying 1 – 11 of 11

Page 1