On bounded Dual-valued derivations on certain Banach algebras

A. L. Barrenechea; C. C. Peña

Displaying similar documents to “On bounded Dual-valued derivations on certain Banach algebras”

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

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

Archivum Mathematicum

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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 generalization of the $n$ -weak amenability of Banach algebras.

Mewomo, O.T., Akinbo, G. (2011)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Aspects of the theory of derivations

Gerard Murphy (1994)

Banach Center Publications

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We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.

Dual Banach algebras and Connes-amenability.

Uygul, Faruk (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Ideally factored algebras.

Amyari, M., Mirzavaziri, M. (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Some open problems on functional analysis and function theory.

V. K. Maslyuchenko, A. M. Plichko (2005)

Extracta Mathematicae

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A note on fusion Banach frames

S. K. Kaushik, Varinder Kumar (2010)

Archivum Mathematicum

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For a fusion Banach frame $({G_{n}, v_{n}}, S)$ for a Banach space $E$ , if $({v_{n}^{*} (E^{*}), v_{n}^{*}}, T)$ is a fusion Banach frame for $E^{*}$ , then $({G_{n}, v_{n}}, S; {v_{n}^{*} (E^{*}), v_{n}^{*}}, T)$ is called a fusion bi-Banach frame for $E$ . It is proved that if $E$ has an atomic decomposition, then $E$ also has a fusion bi-Banach frame. Also, a sufficient condition for the existence of a fusion bi-Banach frame is given. Finally, a characterization of fusion bi-Banach frames is given.

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.