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SPECTRALITY FOR MATRICES OF FOURIER MULTIPLIER OPERATORS ACTING INLp-SPACES OVER LCA GROUPS

 

作者: WernerJ. Ricker,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1996）
卷期: Volume 19, issue 1-2  

页码: 237-257

 

ISSN:1607-3606

 

年代: 1996

 

DOI:10.1080/16073606.1996.9631837

 

出版商: Taylor & Francis Group

 

关键词: 47B40;47B38;42B15

 

数据来源: Taylor

 

摘要:

N. Dunford and J.T. Schwartz gave a complete characterization of those matrices of (bounded) Fourier multiplier operators acting inL2(RN)nwhich are spectral operators, [4; ch. XV]. In the present note this characterization is extended to the setting ofLP(G)n, whereGis a locally compact abelian group and 1 < p < ∞; see Theorem 2.

 

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