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Shams Yousefi, Marzieh. (1400). A MULTI-NORM STRUCTURE ON THE FOURIER AND FOURIER STIELTJES ALGEBRAS. , 7(30), 151-164.
Marzieh Shams Yousefi. "A MULTI-NORM STRUCTURE ON THE FOURIER AND FOURIER STIELTJES ALGEBRAS". , 7, 30, 1400, 151-164.
Shams Yousefi, Marzieh. (1400). 'A MULTI-NORM STRUCTURE ON THE FOURIER AND FOURIER STIELTJES ALGEBRAS', , 7(30), pp. 151-164.
Shams Yousefi, Marzieh. A MULTI-NORM STRUCTURE ON THE FOURIER AND FOURIER STIELTJES ALGEBRAS. , 1400; 7(30): 151-164.

A MULTI-NORM STRUCTURE ON THE FOURIER AND FOURIER STIELTJES ALGEBRAS

Journal of New Researches in Mathematics
مقاله 12، دوره 7، شماره 30، آذر و دی 2021، صفحه 151-164  XML اصل مقاله (506.07 K)
نوع مقاله: research paper
نویسنده
Marzieh Shams Yousefi email
Assistant Professor, Department of Puer Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.
چکیده
In this paper, we introduce the decomposition property on
locally compact groups and we give a multi-norm structure based on the Fourier and
Fourier-Stieltjes algebras on locally compact groups with this property. We show that compact groups have the decomposition property. This construction generalizes
the known multi-norm structure of L1-algebras on compact abelian
groups. Also, we study some special multi-bounded maps on the Fourier algebras
and improve some results in this theory.
*********************to avoid the web error I repeat the abstract*******************


In this paper, we introduce the decomposition property on
locally compact groups and we give a multi-norm structure based on the Fourier and
Fourier-Stieltjes algebras on locally compact groups with this property. We show that compact groups have the decomposition property. This construction generalizes
the known multi-norm structure of L1-algebras on compact abelian
groups. Also, we study some special multi-bounded maps on the Fourier algebras
and improve some results in this theory.
کلیدواژه‌ها
multi normed spaces؛ Fourier algebra؛ Fourier Stieltjes algebra؛ orthogonal decomposition؛ decomposition property for locally compact groups
مراجع

 

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