Linear Maps on Standard Operator Algebras Characterized by Action on Zero Products
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00216-4
Abstract: Let $${\mathcal {A}}$$A be a unital standard algebra on a complex Banach space $${\mathcal {X}}$$X with dim$${\mathcal {X}}\ge 2$$X≥2. The main result of this paper is to characterize the linear maps $$\delta , \tau :… read more here.
Keywords: linear maps; delta; standard operator; operator algebras ... See more keywords
Multiplicative *-Lie type higher derivations of standard operator algebras
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DOI: 10.1080/00927872.2021.1906266
Abstract: Abstract Let be a standard operator algebra on an infinite dimensional complex Hilbert space containing identity operator I. Let be the polynomial defined by n indeterminates and their multiple *-Lie products and be the set… read more here.
Keywords: multiplicative lie; lie type; higher derivations; type higher ... See more keywords
Multiplicative Lie-type derivations on standard operator algebras
Sign Up to like & getrecommendations! Published in 2023 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2023-2030
Abstract: Abstract Let 𝔄 {\mathfrak{A}} be a standard operator algebra on a complex Banach space 𝔛 {\mathfrak{X}} , dim 𝔛 > 1 {\dim\mathfrak{X}>1} , and p n ( T 1 , T 2 ,… read more here.
Keywords: dots mathfrak; operator; mathfrak rightarrow; standard operator ... See more keywords