Displaying similar documents to “Spectral and boundedness radii in locally convex algebras.”

On unitary convex decompositions of vectors in a J B * -algebra

Akhlaq A. Siddiqui (2013)

Archivum Mathematicum


By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital J B * -algebra permits the vector decomposable as convex combination of fewer unitaries; certain C * -algebra results due to M. Rørdam have been extended to the general setting of J B * -algebras.

Commutativity criterions in locally m-convex algebras.

Aida Toma (2003)

Extracta Mathematicae


In this paper we define the notions of semicommutativity and semicommutativity modulo a linear subspace. We prove some results regarding the semicommutativity or semicommutativity modulo a linear subspace of a sequentially complete m-convex algebra. We show how such results can be applied in order to obtain commutativity criterions for locally m-convex algebras.

On locally bounded algebras

S. Rolewicz (2000)

Banach Center Publications


It is a survey talk concerning locally bounded algebras.