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Weak-type operators and the strong fundamental lemma of real interpolation theory

N. Krugljak, Y. Sagher, P. Shvartsman (2005)

Studia Mathematica

We prove an interpolation theorem for weak-type operators. This is closely related to interpolation between weak-type classes. Weak-type classes at the ends of interpolation scales play a similar role to that played by BMO with respect to the L p interpolation scale. We also clarify the roles of some of the parameters appearing in the definition of the weak-type classes. The interpolation theorem follows from a K-functional inequality for the operators, involving the Calderón operator. The inequality...

Δ -weak character amenability of certain Banach algebras

Hamid Sadeghi (2019)

Archivum Mathematicum

In this paper we investigate Δ -weak character amenability of certain Banach algebras such as projective tensor product A ^ B and Lau product A × θ B , where A and B are two arbitrary Banach algebras and θ Δ ( B ) , the character space of B . We also investigate Δ -weak character amenability of abstract Segal algebras and module extension Banach algebras.

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