1. bookVolume 19 (2020): Issue 1 (December 2020)
Journal Details
License
Format
Journal
First Published
11 Dec 2014
Publication timeframe
1 time per year
Languages
English
access type Open Access

Counter examples for pseudo-amenability of some semigroup algebras

Published Online: 31 Dec 2020
Page range: 35 - 38
Received: 17 Jul 2019
Accepted: 23 Sep 2019
Journal Details
License
Format
Journal
First Published
11 Dec 2014
Publication timeframe
1 time per year
Languages
English
Abstract

In this short note, we give some counter examples which show that [11, Proposition 3.5] is not true. As a consequence, the arguments in [11, Proposition 4.10] are not valid.

Keywords

[1] Amini, Massoud. “Module amenability for semigroup algebras.” Semigroup Forum 69, no. 2 (2004): 243-254. Cited on 37.Search in Google Scholar

[2] Amini, Massoud, and Alireza Medghalchi. “Restricted algebras on inverse semi-groups. I. Representation theory.” Math. Nachr. 279, no. 16 (2006): 1739-1748. Cited on 36.Search in Google Scholar

[3] Bodaghi, Abasalt, and Massoud Amini. “Module character amenability of Banach algebras.” Arch. Math. (Basel) 99, no. 4 (2012): 353-365. Cited on 37.Search in Google Scholar

[4] Bodaghi, Abasalt, and Ali Jabbari. “Module pseudo-amenability of Banach algebras.” An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 63, no. 3 (2017): 449-461. Cited on 37.Search in Google Scholar

[5] Dales, H. Garth, Anthony To-Ming Lau, and Dona Papert Strauss. “Banach algebras on semigroups and on their compactifications.” Mem. Amer. Math. Soc. 205, no. 966 (2010): vi+165 pp. Cited on 35 and 36.Search in Google Scholar

[6] Essmaili, Morteza, Mehdi Rostami, and Alireza R. Medghalchi. “Pseudo-contractibility and pseudo-amenability of semigroup algebras.” Arch. Math. (Basel) 97, no. 2 (2011): 167-177. Cited on 35.Search in Google Scholar

[7] Essmaili, Morteza, Mehdi Rostami, and Abdolrasoul Pourabbas. “Pseudo-amenability of certain semigroup algebras.” Semigroup Forum 82, no. 3 (2011): 478-484. Cited on 35.Search in Google Scholar

[8] Ghahramani, Fereidoun, and Yong Zhang. “Pseudo-amenable and pseudo-contractible Banach algebras.” Math. Proc. Cambridge Philos. Soc. 142, no. 1 (2007): 111-123. Cited on 35.Search in Google Scholar

[9] Ghahramani, Fereidoun, and Richard J. Loy. “Generalized notions of amenability.” J. Funct. Anal. 208, no. 1 (2004): 229-260. Cited on 36.Search in Google Scholar

[10] Ghahramani, Fereidoun, Richard J. Loy, and Yong Zhang. “Generalized notions of amenability. II.” J. Funct. Anal. 254, no. 7 (2008): 1776-1810. Cited on 36.Search in Google Scholar

[11] Ogunsola, Olufemi J., and Ifeyinwa E. Daniel. “Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra.” Ann. Univ. Paedagog. Crac. Stud. Math. 17 (2018): 89-102. Cited on 35, 36 and 37.Search in Google Scholar

[12] Runde, Volker. Lectures on amenability. Vol. 1774 of Lecture Notes in Mathematics. New York: Springer-Verlag, 2002. Cited on 35 and 37.Search in Google Scholar

[13] Samei, Ebrahim, Nico Spronk, and Ross Stokke. “Biflatness and pseudo-amenability of Segal algebras.” Canad. J. Math. 62, no. 4 (2010): 845-869. Cited on 35.Search in Google Scholar

[14] Zhang, Yong. Solved and unsolved problems in generalized notions of amenability for Banach algebras. Vol. 91 of Banach Center Publications. Warszawa: Inst. Mat. Pol. Acad. Sci., 2010. Cited on 36.Search in Google Scholar

Recommended articles from Trend MD

Plan your remote conference with Sciendo