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Analyticity angle for non‐commutative diffusion semigroups
Author(s) -
Kriegler Ch.
Publication year - 2011
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdq070
Subject(s) - commutative property , mathematics , extension (predicate logic) , pure mathematics , diffusion , physics , computer science , quantum mechanics , programming language
Under certain hypotheses, diffusion semigroups on commutative L p ‐spaces are known to have an analytic extension for | arg z | < π / 2 arctan ( | p − 2 | / 2 p − 1. In this paper it is shown that semigroups on non‐commutative L p ‐spaces have the same extension under suitable conditions. These conditions even lead to a new result in the commutative case. Further, some examples are considered.