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Статті в журналах з теми "Amenability of ap(S)"

Автор: Grafiati

Опубліковано: 3 червня 2025

Оновлено: 31 липня 2025

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1

A.M., Aminpour, and Seilani Mehrdad. "AMENABILITY OF ap (S)." Journal of Academic and Applied Studies 3, no. 10 (2013): 46. https://doi.org/10.5281/zenodo.1059046.

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Анотація:

In this paper, we present an important new theorem for amenability of ap(S). The set of all almost periodic functions on S is denoted by ap(S). We develop the fundamental theory of almost periodic function on a general semitopological semigroup. The principal result is that ap(S) is amenable if and only if ap(S) = Sap(S) &oplus; F0 [Theorem 3.1]. Mathematical society classification:2010 MSC. 18340

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2

LAU, ANTHONY TO-MING, and LIANGJIN YAO. "Amenability and Fan–Glicksberg theorem for set-valued mappings." Carpathian Journal of Mathematics 34, no. 3 (2018): 341–46. http://dx.doi.org/10.37193/cjm.2018.03.08.

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In this paper, we begin by discussion of some well known results on the existence of left invariant means in the spaces: LUC(S), AP(S) and W AP(S) with Hahn-Banach extension theorem. We then give a new and precise proof of the well known Fan–Glicksberg fixed point theorem. This is then followed by a discussion on some related open problems.

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3

Miao, Tianxuan. "Predual of the Multiplier Algebra of Ap(G) and Amenability." Canadian Journal of Mathematics 56, no. 2 (2004): 344–55. http://dx.doi.org/10.4153/cjm-2004-016-x.

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AbstractFor a locally compact group G and 1 < p < ∞, let Ap(G) be the Herz-Figà-Talamanca algebra and let PMp(G) be its dual Banach space. For a Banach Ap(G)-module X of PMp(G), we prove that the multiplier space ℳ(Ap(G); X*) is the dual Banach space of QX, where QX is the norm closure of the linear span Ap(G)X of u f for u 2 Ap(G) and f ∈ X in the dual of ℳ(Ap(G); X*). If p = 2 and PFp(G) ⊆ X, then Ap(G)X is closed in X if and only if G is amenable. In particular, we prove that the multiplier algebra MAp(G) of Ap(G) is the dual of Q, where Q is the completion of L1(G) in the ‖ · ‖M-norm

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4

Bami, Mahmoud, and Hojatollah Samea. "Amenability and essential amenability of certain Banach algebras." Studia Scientiarum Mathematicarum Hungarica 44, no. 3 (2007): 377–90. http://dx.doi.org/10.1556/sscmath.2007.1025.

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In the present paper we have introduced Banach algebras \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\ell ^p - \oplus _{i \in I} \mathfrak{A}_i $$ \end{document} (1 ≦ p < ∞) of unital Banach algebras \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \use

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5

Ogunsola, Olufemi J., and Ifeyinwa E. Daniel. "Pseudo-amenability and pseudo-contractibility of restricted semigroup algebra." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 17, no. 1 (2018): 89–102. http://dx.doi.org/10.2478/aupcsm-2018-0008.

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Abstract In this article the pseudo-amenability and pseudo-contractibility of restricted semigroup algebra $l_r^1(S)$ and semigroup algebra, l1(Sr) on restricted semigroup, Sr are investigated for different classes of inverse semi-groups such as Brandt semigroup, and Clifford semigroup. We particularly show the equivalence between pseudo-amenability and character amenability of restricted semigroup algebra on a Clifford semigroup and semigroup algebra on a restricted semigroup. Moreover, we show that when S = M0(G, I)is a Brandt semigroup, pseudo-amenability of l1(Sr) is equivalent to its pseu

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6

Bédos, E., and L. Tuset. "Amenability and Co-Amenability for Locally Compact Quantum Groups." International Journal of Mathematics 14, no. 08 (2003): 865–84. http://dx.doi.org/10.1142/s0129167x03002046.

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We define concepts of amenability and co-amenability for locally compact quantum groups in the sense of J. Kustermans and S. Vaes. Co-amenability of a lcqg (locally compact quantum group) is proved to be equivalent to a series of statements, all of which imply amenability of the dual lcqg. Further, it is shown that if a lcqg is amenable, then its universal dual lcqg is nuclear. We also define and study amenability and weak containment concepts for representations and corepresentations of lcqg's.

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7

Sahleh, Abbas, and Somaye Tanha. "Module amenability of restricted semigroup algebras under module actions." Filomat 29, no. 4 (2015): 787–93. http://dx.doi.org/10.2298/fil1504787s.

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Анотація:

In this article, weshow that module amenability with the canonical action of restricted semigroup algebra l1r (S) and semigroup algebra l1(Sr) are equivalent, where Sr is the restricted semigroup of associated to the inverse semigroup S. We use this to give a characterization of module amenability of restricted semigroup algebra l1r (S) with the canonical action, where S is a Clifford semigroup.

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8

SOROUSHMEHR, MAEDEH. "ULTRAPOWERS OF ℓ1-MUNN ALGEBRAS AND THEIR APPLICATION TO SEMIGROUP ALGEBRAS". Bulletin of the Australian Mathematical Society 86, № 3 (2012): 424–29. http://dx.doi.org/10.1017/s0004972711003339.

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AbstractIn this work, we study and investigate the ultrapowers of ℓ1-Munn algebras. Then we show that the class of ℓ1-Munn algebras is stable under ultrapowers. Finally, applying this result to semigroup algebras, we show that for a semigroup S, ultra-amenability of ℓ1(S) and amenability of the second dual ℓ1(S)′′ are equivalent.

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9

Mohammadi, S. M., and J. Laali. "Amenability and Weak Amenability of the Semigroup Algebra l^1 (〖 S〗_T )." Mathematical Researches 2, no. 1 (2016): 33–46. http://dx.doi.org/10.29252/mmr.2.1.33.

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10

Khodakarami, Wania, Hoger Ghahramani, and Esmaeil Feizi. "Relative amenability of Banach algebras." Filomat 36, no. 6 (2022): 2091–103. http://dx.doi.org/10.2298/fil2206091k.

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Анотація:

Let A be a Banach algebra and I be a closed ideal of A. We say that A is amenable relative to I, if A/I is an amenable Banach algebra. We study the relative amenability of Banach algebras and investigate the relative amenability of triangular Banach algebras and Banach algebras associated to locally compact groups. We generalize some of the previous known results by applying the concept of relative amenability of Banach algebras, especially, we present a generalization of Johnson?s theorem in the concept of relative amenability.

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11

Ebadian, Ali, Ali Jabbari, and Saeid Shams. "On Banach algebras defined by multipliers." Filomat 36, no. 17 (2022): 5945–56. http://dx.doi.org/10.2298/fil2217945e.

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Анотація:

In this paper, we investigate a Banach algebra AT, where A is a Banach algebra and T is a left (right) multiplier on A. We study some concepts on AT such as n-weak amenability, cyclic amenability, biflatness, biprojectivity and Arens regularity. For the group algebra L1(G) of an infinite compact group G, it is shown that there is a multiplier T such that L1(G)T has not a bounded approximate identity. For ?1(S), where S is a regular semigroup with a finite number of idempotents, we show that there is a multiplier T such that Arens regularity of ?1(S)T implies that S is compact.

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12

SÁNCHEZ, FÉLIX CABELLO, and RICARDO GARCÍA. "On amenability of the Banach algebras l∞(S, [Ufr ])." Mathematical Proceedings of the Cambridge Philosophical Society 132, no. 2 (2002): 319–22. http://dx.doi.org/10.1017/s0305004102005443.

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Анотація:

Let [Ufr ] be an associative Banach algebra. Given a set S, we write l∞(S, [Ufr ]) for the Banach algebra of all bounded functions f: S→[Ufr ] with the usual norm ∥f∥∞ = sups∈S∥f(s)∥[Ufr ] and pointwise multiplication. When S is countable, we simply write l∈([Ufr ]).In this short note, we exhibit examples of amenable (resp. weakly amenable) Banach algebras [Ufr ] for which l∈(S, [Ufr ]) fails to be amenable (resp. weakly amenable), thus solving a problem raised by Gourdeau in [7] and [8]. We refer the reader to [4, 9, 10] for background on amenability and weak amenability. For basic informatio

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13

Brothier, Arnaud. "Weak amenability for subfactors." International Journal of Mathematics 26, no. 07 (2015): 1550048. http://dx.doi.org/10.1142/s0129167x15500482.

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We define the notions of weak amenability and the Cowling–Haagerup constant for extremal finite index subfactors s of type II1. We prove that the Cowling–Haagerup constant only depends on the standard invariant of the subfactor. Hence, we define the Cowling–Haagerup constant for standard invariants. We explicitly compute the constant for Bisch–Haagerup subfactors and prove that it is equal to the constant of the group involved in the construction. Given a finite family of amenable standard invariants, we prove that their free product in the sense of Bisch–Jones is weakly amenable with constant

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14

Daws, Matthew. "Connes-amenability of bidual and weighted semigroup algebras." MATHEMATICA SCANDINAVICA 99, no. 2 (2006): 217. http://dx.doi.org/10.7146/math.scand.a-15010.

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Анотація:

We investigate the notion of Connes-amenability, introduced by Runde in [10], for bidual algebras and weighted semigroup algebras. We provide some simplifications to the notion of a $\sigma WC$-virtual diagonal, as introduced in [13], especially in the case of the bidual of an Arens regular Banach algebra. We apply these results to discrete, weighted, weakly cancellative semigroup algebras, showing that these behave in the same way as ${ C}^*$-algebras with regards Connes-amenability of the bidual algebra. We also show that for each one of these cancellative semigroup algebras $l^1(S,\omega)$,

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15

Ghorbani, M., and D. Ebrahimi Bagha. "Weak Module Amenability of Module Extension Banach Algebras." International Journal of Contemporary Mathematical Sciences 20, no. 1 (2025): 19–28. https://doi.org/10.12988/ijcms.2025.91978.

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Анотація:

In this paper we study module and weak module amenability of the module extension Banach algebra $A\oplus X$ of a Banach algebra A by a Banach A-module X. As an example we show that for an inverse semigroup S with set of idempotents E, the module extension ${\ell ^{1}}(E)\oplus {\ell ^{1}}(S)$ is amenable as an ${\ell ^{1}}(E)$-module iff S is amenable. We also study module biflatness and module biprojectivity of module extensions.

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16

Bansal, R. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 29, no. 4 (1987): 54. http://dx.doi.org/10.1109/map.1987.27934.

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17

Scott, B. "AP-S workshops." IEEE Antennas and Propagation Society Newsletter 29, no. 6 (1987): 14–19. http://dx.doi.org/10.1109/map.1987.27950.

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18

Bansal, R. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 29, no. 6 (1987): 34. http://dx.doi.org/10.1109/map.1987.27956.

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19

Bansal, Rejeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 30, no. 1 (1988): 20. http://dx.doi.org/10.1109/map.1988.6065675.

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20

Bansal, Rajeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 30, no. 4 (1988): 40. http://dx.doi.org/10.1109/map.1988.6079094.

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21

Bansal, Rajeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 30, no. 6 (1988): 31. http://dx.doi.org/10.1109/map.1988.6086102.

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22

Bansol, Raieev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 30, no. 5 (1988): 40. http://dx.doi.org/10.1109/map.1988.6086115.

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23

Bansal, Rajeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 31, no. 2 (1989): 37. http://dx.doi.org/10.1109/map.1989.6095667.

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24

Bansal, Rajeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 31, no. 1 (1989): 34. http://dx.doi.org/10.1109/map.1989.6095681.

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25

Bansal, Rajeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 31, no. 4 (1989): 35–36. http://dx.doi.org/10.1109/map.1989.6102028.

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26

Bansal, Rajeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 31, no. 6 (1989): 53. http://dx.doi.org/10.1109/map.1989.6102041.

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27

Bansal, Rajeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 31, no. 3 (1989): 40. http://dx.doi.org/10.1109/map.1989.6102054.

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28

Bansal, Rajeev. "AP-S turnstile." IEEE Antennas and Propagation Society Newsletter 31, no. 5 (1989): 44. http://dx.doi.org/10.1109/map.1989.6102068.

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29

Bansal, Rajeev. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 32, no. 1 (1990): 53. http://dx.doi.org/10.1109/map.1990.7725050.

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30

Bansal, R. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 37, no. 5 (1995): 74. http://dx.doi.org/10.1109/map.1995.475870.

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31

Bansal, R. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 38, no. 1 (1996): 86. http://dx.doi.org/10.1109/map.1996.491304.

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32

Bansal, R. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 39, no. 3 (1997): 100. http://dx.doi.org/10.1109/map.1997.598567.

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33

Bansal, R. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 41, no. 5 (1999): 102–3. http://dx.doi.org/10.1109/map.1999.801521.

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34

Bansal, R. "AP-S Turntile." IEEE Antennas and Propagation Magazine 48, no. 2 (2006): 120. http://dx.doi.org/10.1109/map.2006.1650842.

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35

Bansal, Rajeev. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 48, no. 5 (2006): 135. http://dx.doi.org/10.1109/map.2006.277175.

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36

Bansai, Raleev. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 49, no. 1 (2007): 150. http://dx.doi.org/10.1109/map.2007.371004.

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37

Bansal, Rajeev. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 49, no. 6 (2007): 142–43. http://dx.doi.org/10.1109/map.2007.4455876.

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38

Bansal, Rajeev. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 50, no. 2 (2008): 161–62. http://dx.doi.org/10.1109/map.2008.4562283.

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39

Bansal, Rajeev. "AP-S Turnstile." IEEE Antennas and Propagation Magazine 50, no. 5 (2008): 156. http://dx.doi.org/10.1109/map.2008.4674736.

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40

Grønbæk, Niels. "Amenability of weighted discrete convolution algebras on cancellative semigroups." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 110, no. 3-4 (1988): 351–60. http://dx.doi.org/10.1017/s0308210500022344.

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SynopsisIn this paper we apply a theorem of Khelemskiĭ and Sheĭnberg, characterising amenability by means of bounded approximate identities, to weighted discrete convolution algebras. In doing this we give a condition for a weighted discrete convolution algebra to have a bounded approximate identity. Under the condition that the semigroup (S,.) is one-sided cancellative, we prove that, if some weighted discrete convolution algebra on S is amenable, then (S,.) is actually a group. We further characterise all amenable weighted discrete convolution algebras on groups, thus extending a well-known

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41

Wong, James C. S. "On the Semigroup of Probability Measures of a Locally Compact Semigroup II." Canadian Mathematical Bulletin 30, no. 3 (1987): 273–81. http://dx.doi.org/10.4153/cmb-1987-039-9.

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AbstractThis is a sequel to the author's paper "On the semigroup of probability measures of a locally compact semigroup." We continue to investigate the relationship between amenability of spaces of functions and functionals associated with a locally compact semigroups S and its convolution semigroup MO(S) of probability measures and fixed point properties of actions of S and MO(S) on compact convex sets.

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42

Young, J. L. "Chapter news [AP-S]." IEEE Antennas and Propagation Magazine 46, no. 6 (2004): 92–95. http://dx.doi.org/10.1109/map.2004.1396740.

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43

Young, J. L. "Chapter News [AP-S." IEEE Antennas and Propagation Magazine 47, no. 3 (2005): 68–70. http://dx.doi.org/10.1109/map.2005.1532544.

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44

Shields, M. W. "AP-S AdCom Minutes." IEEE Antennas and Propagation Magazine 48, no. 1 (2006): 76–86. http://dx.doi.org/10.1109/map.2006.1645562.

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45

Young, Jeffrey. "Chapter News [AP-S]." IEEE Antennas and Propagation Magazine 48, no. 6 (2006): 90–94. http://dx.doi.org/10.1109/map.2006.323350.

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46

Shields, Michael. "AP-S Adcom Minutes." IEEE Antennas and Propagation Magazine 49, no. 4 (2007): 102–9. http://dx.doi.org/10.1109/map.2007.4385601.

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47

Kempel, Leo C. "AP-S Chapter News." IEEE Antennas and Propagation Magazine 50, no. 2 (2008): 124–27. http://dx.doi.org/10.1109/map.2008.4562267.

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48

Shields, Michael. "AP-S AdCom minutes." IEEE Antennas and Propagation Magazine 50, no. 5 (2008): 95–104. http://dx.doi.org/10.1109/map.2008.4674714.

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49

Shields, Michael W. "AP-S AdCom Minutes." IEEE Antennas and Propagation Magazine 51, no. 2 (2009): 100–111. http://dx.doi.org/10.1109/map.2009.5162023.

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50

Shields, Michael W. "AP-S AdCom Minutes." IEEE Antennas and Propagation Magazine 51, no. 3 (2009): 95–102. http://dx.doi.org/10.1109/map.2009.5251199.

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