معرفی یک ساختار p- عملگری برروی جبر گروهیp- شبه توابع جامع، UPFp(G)
محورهای موضوعی : آمارمحمد علی احمد پور جاده کناری 1 , مرضیه شمس یوسفی 2 *
1 - گروه رياضي محض، دانشکده علوم رياضي، دانشگاه گيلان، رشت، ايران
2 - گروه رياضي محض، دانشکده علوم رياضي، دانشگاه گيلان، رشت، ايران
کلید واژه: نمایش جامع, p- فضاهای عملگری, p- شبه توابع جامع, QSLp- فضاها,
چکیده مقاله :
در این مقاله یکی از انواع خاص ساختار p-عملگری بر روی جبر p-شبه توابع جامع داده میشود. همچنین برخی نتایج کاربردی و توسعه ای در زمینه p-کاملا کرانداری نگاشتهای خاص روی این جبر ارائه خواهد شد.
In this paper one of the possible p-operator space structures of the algebra of universal p-pseudofunctions will be introduced, َ Also to some extend some practical and developmental results in the field of p-completely boundedness of specific mappings on this algebra will be presented. In this paper one of the possible p-operator space structures of the algebra of universal p-pseudofunctions will be introduced, َ Also to some extend some practical and developmental results in the field of p-completely boundedness of specific mappings on this algebra will be presented. In this paper one of the possible p-operator space structures of the algebra of universal p-pseudofunctions will be introduced, َ Also to some extend some practical and developmental results in the field of p-completely boundedness of specific mappings on this algebra will be presented. In this paper one of the possible p-operator space structures of the algebra of universal p-pseudofunctions will be introduced, َ Also to some extend some practical and developmental results in the field of p-completely boundedness of specific mappings on this algebra will be presented.
[1] M. Daws, p-Operator spaces and Figa-Talamanca-Herz algebras, J. Operator Theory
63 (1) 47-83(2010).
[2] E.G. Effros, Z.-J. Ruan, A new approach to operator spaces, Canad. J. Math. 34 (1991) 329-337
[3] E.G. Effros, Z.-J. Ruan, Operator Spaces, London Math. Soc. Monogr. (N.S.) 23 Clarendon Press, Oxford University Press, New York, 2000.
[4] P. Eymard, L'algebre de Fourier d'un groupe localement compact,, Bull. Soc. Math. France 92 181-236 (1964)
[5] A. Figa-Talamanca, Translation invariant operators in Lp, Duke Math. J. 32 495-501 (1965)
[6] G. B. Folland, A course in abstract harmonic analysis, CRC PRESS, 1995.
[7] E. Gardella, A modern look at algebras of operators on Lp-spaces,
ArXiv:1909.12096v1.
[8] C. Herz, Une generalisation de la notion de transformee de Fourier-Stieltjes, Ann.
Inst. Fourier 24 (1974), 145157.
[9] C. Herz, The theory of p-spaces with an application to convolution operators, its
second dual, Trans. Amer. Math. Soc. 154 69-82(1971)
[10] M. Ilie, A note on p-completely bounded homomorphisms of the Figa-Talamanca-
Herz algebras, J. Math. Anal. Appl. 419 273-284(2014)
[11] M. Ilie, N. Spronk, Completely bounded homomorphisms of the Fourier algebra,
J. Funct. Anal. 225 480-499(2005)
[12] C. Le Merdy, Factorization of p-completely bounded multilinear maps, Pacific J. Math. 172, 187-213(1996)
[13] G. Pisier, Similarity Problems and Completely Bounded Maps, Second, expanded edition, Lecture Notes in Math., vol. 1618, Springer-Verlag, Berlin 2001.
[14] V. Runde, Representations of locally compact groups on QSLp-spaces and a p-analog of the Fourier-Stieltjes algebra, Pacific J. Math. 221 (2) 379-397(2005)