On the homological and algebraical properties of some Feichtinger algebras

References

[1] Abtahi, F.—Rejali, A.—Sabzali, N.: The amalgam spaceL(p,q)π(G)on IN-groups, Math. Slovaca 70(1) (2020), 125–134.10.1515/ms-2017-0337Suche in Google Scholar

[2] Bertrandias, J. P.—Darty, C.—Dupuis, C.: Unions et intersections d'espace L^p invariantes par translation ou convolution, Ann. Ins. Fourier (Grenoble) 28 (1978), 58–84.10.5802/aif.689Suche in Google Scholar

[3] Burnham, J. T.: Closed ideals in subalgebras of Banach algebras I, Proc. Amer. Math. Soc. 32 (1972), 551–555.10.1090/S0002-9939-1972-0295078-5Suche in Google Scholar

[4] Busby, R. C.—Smith, H. A.: Product-convolution operators and mixed-norm spaces, Trans. Amer. Math. Soc. 263 (1981), 309–341.10.1090/S0002-9947-1981-0594411-4Suche in Google Scholar

[5] Eymard, P.: L' algèbre de Fourier d'un groupe localement compact, Bull. Soc. Math. France 92 (1964), 181–238.10.24033/bsmf.1607Suche in Google Scholar

[6] Feichtinger, H. G.: Banach convolution algebras of Wiener type, Proc. Conf. on Functions, Series, Operators, Budapest 1980, Colloq. Math. Soc. Janos Bolyai 35 (1983), 509–524.Suche in Google Scholar

[7] Feichtinger, H. G.: A characterization minimal homogeneous Banach spaces, Proc. Amer. Math. Soc. 81 (1981), 55–61.10.1090/S0002-9939-1981-0589135-9Suche in Google Scholar

[8] Feichtinger, H. G.: Modulation spaces: Looking back and ahead, Sampl. Theory Image Process 5(2) (2006), 109–140.10.1007/BF03549447Suche in Google Scholar

[9] Feichtinger, H. G.: Compactness in translation invariant Banach spaces of distributions and compact multiplier, J. Math. Anal. Appl. 102(2) (1984), 289–327.10.1016/0022-247X(84)90173-2Suche in Google Scholar

[10] Feichtinger, H. G.: On new Segal algebra, Monatsh. Math. 92 (1981), 296-289.10.1007/BF01320058Suche in Google Scholar

[11] Fournier, J. J.—Stewart, J.: Amalgams of L^p and ℓ^q, Bull. Amer. Math. Soc. 13 (1985), 1–21.10.1090/S0273-0979-1985-15350-9Suche in Google Scholar

[12] Ghahramani, F.—Lau, A. T. M.: Weak amenability of certain classes without bounded approximate units, Math. Proc. Camb. Phil. Soc. 138 (2002), 357–371.10.1017/S0305004102005960Suche in Google Scholar

[13] Herz, C.: The theory of p-spaces with an application to convolution operators, Trans. Amer. Math. Soc. 154 (1971), 69–82.10.2307/1995427Suche in Google Scholar

[14] Hewit, E.—Ross, K. A.: Abstract Harmonic Analysis I, II, Spinger-Verlage, Berlin, 1970.10.1007/978-3-662-26755-4Suche in Google Scholar

[15] Holland, F.: Harmonic analysis on amalgams of L^p and ℓ^q, J. London Math. Soc. 2(10) (1975), 295–305.10.1112/jlms/s2-10.3.295Suche in Google Scholar

[16] Jakobsen, M. S.: On a (no longer) new Segal algebra – a review of the Feichtinger algebra, J. Fourier Anal. Appl. 24(6) (2018), 1579–1660.10.1007/s00041-018-9596-4Suche in Google Scholar

[17] Öztop, S.—Spronk, N.: p-Operator space structure on Feichtinger-Figà-Talamanca-Herz Segal algebras, J. Operator Theory 74(1) (2015), 45–74.10.7900/jot.2014apr30.2046Suche in Google Scholar

[18] Rajagopalan, M.: On the L^p-space of a locally compact group, Colloq. Math. 9 (1963), 50–52.10.4064/cm-10-1-49-52Suche in Google Scholar

[19] Ragley, R. W.—Wu, T. S.—Yang, J. S.: On a class topological groups more general than SIN-groups, Pacific J. Math. 117(2) (1985), 209–217.10.2140/pjm.1985.117.209Suche in Google Scholar

[20] Reiter, H.: Classical Analysis and Locally Compact Groups, Oxford Univ. Press, New York and London, 1968.Suche in Google Scholar

[21] Rejali, A.—Sabzali, N.: Amenability and super amenability of some Feichtinger algebras, IIJST 44 (2020), 1101–1110.10.1007/s40995-020-00907-2Suche in Google Scholar

[22] Rudin, W.: Functional Analysis, Mcgraw-Hill Book Company, New york, 1969.Suche in Google Scholar

[23] Runde, V.: Applications of operators spaces to abstract harmonic analysis, Expo. Math. 22 (2004), 317–363.10.1016/S0723-0869(04)80013-6Suche in Google Scholar

[24] Runde, V.: Lectures on Amenability. Lecture Notes in Math., Springer-Verlag, Berlin, 2002.10.1007/b82937Suche in Google Scholar

[25] Samei, E.—Spronk, N.—Stokke, R.: Biflatness and pseudo-amenability of Segal algebras, Canad. J. Math. 62(4) (2010), 845–869.10.4153/CJM-2010-044-4Suche in Google Scholar

[26] Spronk, N.: Operator space structure on Feichtinger's algebras, J. Funt. Anal. 248(1) (2007), 152–174.10.1016/j.jfa.2007.03.028Suche in Google Scholar

[27] Stewart, J.—Watson, S.: Which amalgams are convolution algebras?, Proc. Amer. Math. Soc. 93 (1985), 621–627.10.1090/S0002-9939-1985-0776191-1Suche in Google Scholar

[28] Torres De Squier, M.: Amalgams of L^p and ℓ^q, PHD Thesis, Mc Master University, 1984.Suche in Google Scholar