Cocycles and local product decomposition

Junichi Tanaka

doi:10.1090/S0002-9947-1983-0701511-6

Cocycles and local product decomposition

Junichi Tanaka^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

As an application of cocycles, we establish a relation between the classical Hardy spaces on the real hne R and simply invariant subspaces on a quotient of the Bohr group. When this result is specialized suitably, it yields the well-known results concerning the elements of invariant subspaces. We also study, by using Gamelin’s representation theorem, unitary functions which are the values of cocycles.

Original language	English
Pages (from-to)	565-572
Number of pages	8
Journal	Transactions of the American Mathematical Society
Volume	278
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1983-0701511-6
Publication status	Published - 1983
Externally published	Yes

Keywords

Cocycles
Compact groups with ordered duals
Simply invariant subspaces

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-1983-0701511-6

Cite this

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year = "1983",

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AB - As an application of cocycles, we establish a relation between the classical Hardy spaces on the real hne R and simply invariant subspaces on a quotient of the Bohr group. When this result is specialized suitably, it yields the well-known results concerning the elements of invariant subspaces. We also study, by using Gamelin’s representation theorem, unitary functions which are the values of cocycles.

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KW - Compact groups with ordered duals

KW - Simply invariant subspaces

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Cocycles and local product decomposition

Abstract

Keywords

ASJC Scopus subject areas

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