A NEW CONVOLUTION ON BEURLING ALGEBRAS

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MAHMOODI AMIN

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2009 | Volume:3 | Issue:1 Page(s): 63-82

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Information Journal Paper

Title

A NEW CONVOLUTION ON BEURLING ALGEBRAS

Author(s)

MAHMOODI AMIN | Issue Writer Certificate

Keywords

BUERLING ALGEBRAS

WEIGHT FUNCTIONS

REPRESENTATIONS

AMENABILITY

Abstract

Let G be a locally compact group or a discrete group and let w be a weight function on G. We define a new convolution on the Beurling algebra L1(G, w) and show that it is also a Banach algebra with this new convolution. We show that there is a one to one correspondence between the unitary REPRESENTATIONS of G and the non-degenerate ?-representations of L1(G, w). We show that L1(G, w) is amenable if and only if G is amenable. This improves earlier results which require w to be diagonally bounded.

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Cites

APPROXIMATELY INJECTIVITY FOR BANACH MODULES

References

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APA: Copy

MAHMOODI, AMIN. (2009). A NEW CONVOLUTION ON BEURLING ALGEBRAS. MATHEMATICAL SCIENCES, 3(1), 63-82. SID. https://sid.ir/paper/322483/en

Vancouver: Copy

MAHMOODI AMIN. A NEW CONVOLUTION ON BEURLING ALGEBRAS. MATHEMATICAL SCIENCES[Internet]. 2009;3(1):63-82. Available from: https://sid.ir/paper/322483/en

IEEE: Copy

AMIN MAHMOODI, “A NEW CONVOLUTION ON BEURLING ALGEBRAS,” MATHEMATICAL SCIENCES, vol. 3, no. 1, pp. 63–82, 2009, [Online]. Available: https://sid.ir/paper/322483/en

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