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- W148602190 abstract "Considering a topological algebra B with unit e, an open group of invertible elements B −1 and continuous inversion (e. g. B = Banach algebra, B = C∞(Ω, M n (ℂ)) (Ω smooth manifold), B = special algebras of pseudo-differential operators), we are going to define the set of Jordan elements J ⊂ B (such that J = Set of Jordan operators if B = L(H), H Hilbert space) and to construct rational local cross sections for the operation mapping % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOqamaaCa % aaleqabaGaeyOeI0IaaGymaaaakiabg2GiNiaadEgacqWIMgsycaWG % NbGaamOsaiaadEgadaahaaWcbeqaaiabgkHiTiaaigdaaaaaaa!409D! $$ {B^{ - 1}} mathrelbackepsilon g mapsto gJ{g^{ - 1}} $$ of B −1 on the similarity orbit S(J):= {gJg −1: g Є B −1}, J Є J." @default.
- W148602190 created "2016-06-24" @default.
- W148602190 creator A5070641194 @default.
- W148602190 date "1991-01-01" @default.
- W148602190 modified "2023-10-18" @default.
- W148602190 title "On the Rational Homogeneous Manifold Structure of the Similarity Orbits of Jordan Elements in Operator Algebras" @default.
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- W148602190 doi "https://doi.org/10.1007/978-3-0348-5672-0_13" @default.
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