MULTIPLIERS WITH CLOSED RANGE ON WEIGHTED GROUP ALGEBRAS

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BAGHERI SALESI A.R.; RIAZI A.H.

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Journal Paper

Paper Information

Journal: AMIRKABIR Year:2005 | Volume:16 | Issue:62-D Page(s): 93-98

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Information Journal Paper

Title

MULTIPLIERS WITH CLOSED RANGE ON WEIGHTED GROUP ALGEBRAS

Author(s)

BAGHERI SALESI A.R. | RIAZI A.H. | Issue Writer Certificate

Keywords

MULTIPLIERS

BANACH ALGEBRAS

CLOSED IDEALS

WEIGHTED GROUP ALGEBRAS

HEWITT PROPERTY

Abstract

Let G be a locally compact abelian group and µ ε M (G) be given. If µ is the product of an invertible and an idempotent measure then the ideal µ * L1 (G) is obviously closed in L1 (G). The problem whether the converse is also true, which was raised by E. Hewitt, has been first studied by I. Glicksberg and later by B. Host and F. Parreau who completely solved it in their impressive paper. Thus µ * L1 (G) is closed in L1 (G) if and only if µ is the product of an invertible and an idempotent measure in M (G). In this paper we study the MULTIPLIERS with closed range on the weighted group algebra L1 (G, ω). We prove among other things that, the Glicksberg-Host-Parreau theorem for group algebras remain valid for regular WEIGHTED GROUP ALGEBRAS.

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APA: Copy

BAGHERI SALESI, A.R., & RIAZI, A.H.. (2005). MULTIPLIERS WITH CLOSED RANGE ON WEIGHTED GROUP ALGEBRAS. AMIRKABIR, 16(62-D), 93-98. SID. https://sid.ir/paper/529410/en

Vancouver: Copy

BAGHERI SALESI A.R., RIAZI A.H.. MULTIPLIERS WITH CLOSED RANGE ON WEIGHTED GROUP ALGEBRAS. AMIRKABIR[Internet]. 2005;16(62-D):93-98. Available from: https://sid.ir/paper/529410/en

IEEE: Copy

A.R. BAGHERI SALESI, and A.H. RIAZI, “MULTIPLIERS WITH CLOSED RANGE ON WEIGHTED GROUP ALGEBRAS,” AMIRKABIR, vol. 16, no. 62-D, pp. 93–98, 2005, [Online]. Available: https://sid.ir/paper/529410/en

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