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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 4, Pages 84–87
DOI: https://doi.org/10.4213/faa225 (Mi faa225) 		 
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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
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DOI: https://doi.org/10.4213/faa225
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.
Received: 06.02.2002
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 4, Pages 324–327
DOI: https://doi.org/10.1023/A:1021726229845
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: E. E. Sinaiskii, “Translation Continuous Functionals on $C_B(\mathbb{R})$ and Their Supports”, Funktsional. Anal. i Prilozhen., 36:4 (2002), 84–87; Funct. Anal. Appl., 36:4 (2002), 324–327
Citation in format AMSBIB
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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