The Lie structure of C* and Poisson algebras
Janusz Grabowski (1985)
Studia Mathematica
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Janusz Grabowski (1985)
Studia Mathematica
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José Isidro (2007)
Open Mathematics
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The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.
Ciobanu, Camelia (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Saïd Benayadi (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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W. Żelazko (1972)
Studia Mathematica
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Grabowski, Janusz
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G. Godefroy, N. Kalton, P. Saphar (1993)
Studia Mathematica
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We show that a Banach space with separable dual can be renormed to satisfy hereditarily an “almost” optimal uniform smoothness condition. The optimal condition occurs when the canonical decomposition is unconditional. Motivated by this result, we define a subspace X of a Banach space Y to be an h-ideal (resp. a u-ideal) if there is an hermitian projection P (resp. a projection P with ∥I-2P∥ = 1) on Y* with kernel . We undertake a general study of h-ideals and u-ideals. For example...
T. S. S. R. K. Rao (1992)
Extracta Mathematicae
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