Geodesic
Symmetric operator amenability of operator algebras
Filomat, Tome 36 (2022) no. 10, p. 3471

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DOI

Using the notion of a symmetric virtual diagonal for a Banach algebra, we prove that a Banach algebra is symmetrically amenable if its second dual is symmetrically amenable. We introduce symmetric operator amenability in the category of completely contractive Banach algebras as an operator algebra analogue of symmetric amenability of Banach algebras. We give some equivalent formulations of symmetric operator amenability of completely contractive Banach algebras and investigate some hereditary properties of symmetric operator amenable algebras. We show that amenability of locally compact groups is equivalent to symmetric operator amenability of its Fourier algebra. Finally, we discuss about Jordan derivation on symmetrically operator amenable algebras.
DOI : 10.2298/FIL2210471H
Classification : 46H20, 46H25, 43A07, 46L05
Keywords: completely contractive Banach algebra, symmetrically operator amenable, symmetric operator virtual diagonal, Jordan derivation 
Jaeseong Heo. Symmetric operator amenability of operator algebras. Filomat, Tome 36 (2022) no. 10, p. 3471 . doi: 10.2298/FIL2210471H
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     title = {Symmetric operator amenability of operator algebras},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
     number = {10},
     doi = {10.2298/FIL2210471H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210471H/}
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