Displaying similar documents to “Spaces of continuous functions taking their values in the ε-product.”

Some properties of the tensor product of Schwartz εb-spaces.

Belmesnaoui Aqzzouz, M. Hassan el Alj, Redouane Nouira (2007)

RACSAM

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We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their ε-product Gε(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).

A converse to Amir-Lindenstrauss theorem in complex Banach spaces.

Ondrej F. K. Kalenda (2006)

RACSAM

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We show that a complex Banach space is weakly Lindelöf determined if and only if the dual unit ball of any equivalent norm is weak* Valdivia compactum. We deduce that a complex Banach space X is weakly Lindelöf determined if and only if any nonseparable Banach space isomorphic to a complemented subspace of X admits a projectional resolution of the identity. These results complete the previous ones on real spaces.

Concrete subspaces and quotient spaces of locally convex spaces and completing sequences

Süleyman Önal, Tosun Terzioğlu

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CONTENTSIntroduction..................................................................................51. Almost bounded sets and operators........................................62. Eidelheit’s theorem................................................................133. Nuclear Köthe quotients.........................................................204. Nuclear Köthe subspaces and completing sequences...........225. Applications...........................................................................256....

A survey on the Szlenk index and some of its applications.

Gilles Lancien (2006)

RACSAM

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We describe how the Szlenk index has been used in various areas of the geometry of Banach spaces. We cover the following domains of application of this notion: non existence of universal spaces, linear classification of C(K) spaces, descriptive set theory, renorming problems and non linear classification of Banach spaces.