Brief communications

Translation Continuous Functionals on $C_B(\mathbb{R})$ and Their Supports

E. E. Sinaiskii

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Two constructions of translation continuous functionals on the space of bounded continuous functions on a locally compact group are introduced and the properties of these functionals related to the notion of support of a functional are considered.

Keywords: translation continuous functional, invariant mean, Banach algebra, functional of compact type, functional of infinite type.

UDC: 517.98

Received: 06.02.2002

DOI: 10.4213/faa225

 English version: Functional Analysis and Its Applications, 2002, 36:4, 324–327

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