Invariant subspaces of RL1

Daniel Jupiter; David Redett

Invariant subspaces of RL¹

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

Abstract

In this note we extend D. Singh and A. A. W. Mehanna's invariant subspace theorem for RH¹ (the real Danach space of analytic functions in H¹ with real Taylor coefficients) to the simply invariant subspaces of RL¹ (the real Banach space of functions in L¹ with real Fourier coefficients).

Original language	English (US)
Pages (from-to)	1133-1138
Number of pages	6
Journal	Houston Journal of Mathematics
Volume	32
Issue number	4
State	Published - 2006
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Invariant subspaces of RL1",

abstract = "In this note we extend D. Singh and A. A. W. Mehanna's invariant subspace theorem for RH1 (the real Danach space of analytic functions in H1 with real Taylor coefficients) to the simply invariant subspaces of RL1 (the real Banach space of functions in L1 with real Fourier coefficients).",

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AB - In this note we extend D. Singh and A. A. W. Mehanna's invariant subspace theorem for RH1 (the real Danach space of analytic functions in H1 with real Taylor coefficients) to the simply invariant subspaces of RL1 (the real Banach space of functions in L1 with real Fourier coefficients).

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Invariant subspaces of RL¹

Abstract

ASJC Scopus subject areas

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