Partial Hilbert spaces and amplitude functions
Planarizable supersymmetric quantum toboggans.
Positive projections as generators of -projections of type (B).
Projectively invariant Hilbert-Schmidt kernels and convolution type operators
We consider positive definite kernels which are invariant under a multiplier and an action of a semigroup with involution, and construct the associated projective isometric representation on a Hilbert C*-module. We introduce the notion of C*-valued Hilbert-Schmidt kernels associated with two sequences and construct the corresponding reproducing Hilbert C*-module. We also discuss projective invariance of Hilbert-Schmidt kernels. We prove that the range of a convolution type operator associated with...
Properties of an abstract pseudoresolvent and well-posedness of the degenerate Cauchy problem
The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.
Properties of typical bounded closed convex sets in Hilbert space.
Propriétés des applications quadratiques d'un espace de Hilbert dans un espace vectoriel. Applications à la théorie spectrale des opérateurs normaux et à l'image numérique d'un opérateur
P-Universally bounded unitary operators and the structure of locally convex vector spaces