Cocycles and local product decomposition

Junichi Tanaka

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)565-572
Number of pages8
JournalTransactions of the American Mathematical Society
Volume278
Issue number2
DOIs
Publication statusPublished - 1983
Externally publishedYes

Fingerprint

Cocycle
Invariant Subspace
Decomposition
Decompose
Representation Theorem
Hardy Space
Quotient

Keywords

  • Cocycles
  • Compact groups with ordered duals
  • Simply invariant subspaces

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Cocycles and local product decomposition. / Tanaka, Junichi.

In: Transactions of the American Mathematical Society, Vol. 278, No. 2, 1983, p. 565-572.

Research output: Contribution to journalArticle

Tanaka, Junichi. / Cocycles and local product decomposition. In: Transactions of the American Mathematical Society. 1983 ; Vol. 278, No. 2. pp. 565-572.
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