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- W4298387334 abstract "In this paper we introduce the notion of slice regular right linear semigroup in a quaternionic Banach space. It is an operatorial function which is slice regular (a noncommutative counterpart of analyticity) and which satisfies a noncommutative semigroup law characterizing the exponential function in an infinite dimensional noncommutative setting. We prove that a right linear operator semigroup in a quaternionic Banach space is slice regular if and only if its generator is spherical sectorial. This result provides a connection between the slice regularity and the noncommutative semigroups theory, and characterizes those semigroups which can be represented by a noncommutative Cauchy integral formula. All our results are generalized to Banach two-sided modules having as a set of scalar any real associative *-algebra, Clifford R_n algebras included." @default.
- W4298387334 created "2022-10-02" @default.
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- W4298387334 date "2016-05-05" @default.
- W4298387334 modified "2023-09-25" @default.
- W4298387334 title "Slice regular semigroups" @default.
- W4298387334 doi "https://doi.org/10.48550/arxiv.1605.01645" @default.
- W4298387334 hasPublicationYear "2016" @default.
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