A note on fusion Banach frames

S. K. Kaushik; Varinder Kumar

Displaying similar documents to “A note on fusion Banach frames”

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Weak $^{*}$ -continuous derivations in dual Banach algebras

M. Eshaghi-Gordji, A. Ebadian, F. Habibian, B. Hayati (2012)

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Let $𝒜$ be a dual Banach algebra. We investigate the first weak $^{*}$ -continuous cohomology group of $𝒜$ with coefficients in $𝒜$ . Hence, we obtain conditions on $𝒜$ for which $H_{w^{*}}^{1} (𝒜, 𝒜) = {0} .$

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

Ondrej F. K. Kalenda (2006)

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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.