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- W4387561254 abstract "We study bounded bilinear maps on a C$^*$-algebra $A$ having product property at $cin A$. This leads us to the question of when a C$^*$-algebra is determined by products at $c.$ In the first part of our paper, we investigate this question for compact C$^*$-algebras, and in the second part, we deal with von Neumann algebras having non-trivial atomic part. Our results are applicable to descriptions of homomorphism-like and derivation-like maps at a fixed point on such algebras." @default.
- W4387561254 created "2023-10-12" @default.
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- W4387561254 date "2023-10-10" @default.
- W4387561254 modified "2023-10-13" @default.
- W4387561254 title "Bilinear maps on C$^*$-algebras that have product property at a compact element" @default.
- W4387561254 doi "https://doi.org/10.48550/arxiv.2310.06595" @default.
- W4387561254 hasPublicationYear "2023" @default.
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