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Displaying similar documents to “On the differentiability of the norm in trace classes S p ”

Embedding of a Urysohn differentiable manifold with corners in a real Banach space

Armas-Gómez, S., Margalef-Roig, J., Outerolo-Domínguez, E., Padrón-Fernández, E.

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Summary: We prove a characterization of the immersions in the context of infinite dimensional manifolds with corners, we prove that a Hausdorff paracompact C p -manifold whose charts are modelled over real Banach spaces which fulfil the Urysohn C p -condition can be embedded in a real Banach space, E , by means of a closed embedding, f , such that, locally, its image is a totally neat submanifold of a quadrant of a closed vector subspace of E and finally we prove that a Hausdorff paracompact...

Separate and joint similarity to families of normal operators

Piotr Niemiec (2002)

Studia Mathematica

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Sets of bounded linear operators , ⊂ ℬ(H) (ℋ is a Hilbert space) are similar if there exists an invertible (in ℬ(H)) operator G such that G - 1 · · G = . A bounded operator is scalar if it is similar to a normal operator. is jointly scalar if there exists a set ⊂ ℬ(H) of normal operators such that and are similar. is separately scalar if all its elements are scalar. Some necessary and sufficient conditions for joint scalarity of a separately scalar abelian set of Hilbert space operators are presented...

Linear mappings preserving similarity on B(H)

Tatjana Petek (2004)

Studia Mathematica

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Let H be an infinite-dimensional complex Hilbert space. We give a characterization of surjective linear mappings on B(H) that preserve similarity in both directions.