Generalized Notions of Character Amenability
In this paper, the concepts of approximate character amenability （contractibility）, uniform approximate character amenability （contractibility） and w^＊-approximate character amenability are introduced. We are concerned with the relations among the generalized concepts of character amenability for Ba...
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2013-07, Vol.29 (7), p.1329-1350 |
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| container_title | Acta mathematica Sinica. English series |
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| creator | Aghababa, Hasan Pourmahmood Shi, Luo Yi Wu, Yu Jing |
| description | In this paper, the concepts of approximate character amenability （contractibility）, uniform approximate character amenability （contractibility） and w^＊-approximate character amenability are introduced. We are concerned with the relations among the generalized concepts of character amenability for Banach algebras. We show that approximate character amenability, w^＊-approximate character amenability and approximate character contractibility are the same properties, as uniform approximate character amenability and character amenability as uniform approximate character contractibility and character contractibility. The general theory for these concepts is also developed. Moreover, approximate character amenability of several concrete classes of Banach algebras related to locally compact groups and also some discrete semigroups is considered. |
| doi_str_mv | 10.1007/s10114-013-0627-4 |
| format | Article |
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Moreover, approximate character amenability of several concrete classes of Banach algebras related to locally compact groups and also some discrete semigroups is considered.</description><subject>Algebra</subject><subject>Approximation</subject><subject>Banach spaces</subject><subject>Banach代数</subject><subject>Concretes</subject><subject>Group theory</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Studies</subject><subject>半群</subject><subject>字符</subject><subject>局部紧群</subject><subject>广义</subject><subject>收缩</subject><subject>近似性</subject><subject>顺从性</subject><issn>1439-8516</issn><issn>1439-7617</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kD1PwzAQhi0EEqXwA9iCWBgI-GLHH2NVQUGqYIHZcpJzmyqNWzsdyq8nVSqEGJjuhud57_QScg30ASiVjxEoAE8psJSKTKb8hIyAM51KAfL0uKscxDm5iHFFaZ5rKkbkfoYtBtvUX1glb76rfRsT75Lp0gZbdhiSyRpbW9RN3e0vyZmzTcSr4xyTz-enj-lLOn-fvU4n87RkMu_SAisEoJXUKuMWkCvBC12xShaaKQGF0qqsbEFZ7pDrigrHCgZSonOZtBkbk7shdxP8doexM-s6ltg0tkW_iwY4SKUyoXWP3v5BV34X2v47A0xoUDRn0FMwUGXwMQZ0ZhPqtQ17A9Qc-jNDf6bvzxz6M7x3ssGJPdsuMPxK_ke6OR5a-nax7b2fS1yCyqQU7BsXNXvn</recordid><startdate>20130701</startdate><enddate>20130701</enddate><creator>Aghababa, Hasan Pourmahmood</creator><creator>Shi, Luo Yi</creator><creator>Wu, Yu Jing</creator><general>Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society</general><general>Springer Nature B.V</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>88I</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KR7</scope><scope>L.-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>M0N</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20130701</creationdate><title>Generalized Notions of Character Amenability</title><author>Aghababa, Hasan Pourmahmood ; 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| subjects | Algebra Approximation Banach spaces Banach代数 Concretes Group theory Mathematics Mathematics and Statistics Studies 半群 字符 局部紧群 广义 收缩 近似性 顺从性 |
| title | Generalized Notions of Character Amenability |
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