Generalized injectivity of Banach modules

M Fozouni - arXiv preprint arXiv:1502.04506, 2015 - arxiv.org
In this paper, we study the notion of $\phi $-injectivity in the special case that $\phi= 0$. For
an arbitrary locally compact group $ G $, we characterize the 0-injectivity of $ L^{1}(G) $ as a …

[PDF][PDF] Approximately Injectivity for Banach modules

A Mahmoodi - MATHEMATICAL SCIENCES, 2011 - sid.ir
Approximately Injectivity for Banach modules Page 1 www.SID.ir Archive of SID Mathematical
Sciences Vol. 5, No. 4 (2011) 369-380 Approximately Injectivity for Banach modules Amin …

[PDF][PDF] ϕ-INJECTIVITY AND CHARACTER INJECTIVITY OF BANACH MODULES

M Essmaili, M Fozouni, J Laali - 2016 - scientificbulletin.upb.ro
In this paper, some homological notions of Banach A-modules such as ϕinjectivity, 0-
injectivity and character injectivity are discussed, where ϕ is a non-zero multiplicative linear …

Projectivity of Certain Banach Modules Related to a Locally Compact Group

M Dashti, S Soltani Renani - Iranian Journal of Science, 2023 - Springer
Let A be a Banach algebra and let ϕ be a nonzero character on A. For a locally compact
group G, let the group algebra L 1 (G) be a closed two-sided ideal in A. In this paper, we aim …

[PDF][PDF] Homological properties of Banach modules related to locally compact groups

M Ghasemi, MJ Mehdipour - Proc. Rom. Acad. Ser. A Math …, 2020 - academiaromana.ro
HOMOLOGICAL PROPERTIES OF BANACH MODULES RELATED TO LOCALLY COMPACT
GROUPS Page 1 THE PUBLISHING HOUSE OF THE ROMANIAN ACADEMY PROCEEDINGS …

Character injectivity and projectivity of Banach modules

R Nasr-Isfahani, SS Renani - Quarterly Journal of Mathematics, 2014 - ieeexplore.ieee.org
Let be a Banach algebra and let φ be a non-zero character on. We introduce and study the
notions φ-injectivity and φ-projectivity for Banach-modules ℰ by modifying the injectivity and …

Homological properties of certain Banach modules over group algebras

F Bahrami, R Nasr-Isfahani, SS Renani - Proceedings of the …, 2011 - cambridge.org
HOMOLOGICAL PROPERTIES OF CERTAIN BANACH MODULES OVER GROUP ALGEBRAS
Page 1 Proceedings of the Edinburgh Mathematical Society (2011) 54, 321–328 …

Hereditary properties of character injectivity with applications to semigroup algebras

M Essmaili, M Fozouni, J Laali - Annals of Functional Analysis, 2015 - projecteuclid.org
In this paper, we investigate the notion $\phi $-injectivity for Banach $ A $-modules, where
$\phi $ is a character on $ A. $ We obtain some hereditary properties of $\phi $-injectivity for …

A Note on Relatively Injective-Modules

NT Nemesh - Functional Analysis and Its Applications, 2021 - Springer
In this note we discuss some necessary and some sufficient conditions for the relative
injectivity of the-module, where is a locally compact Hausdorff space. We also give a Banach …

Injective modules and amenable groups

G Racher - Commentarii Mathematici Helvetici, 2013 - ems.press
Injective modules and amenable groups Page 1 Comment. Math. Helv. 88 (2013), 1023–1031
DOI 10.4171/CMH/310 Commentarii Mathematici Helvetici © Swiss Mathematical Society …