Characteristic matrix functions on Wachs spaces, I. (Livsits definition).
Characterization of Bessel sequences.
Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and Bess(H) be the set of all Bessel sequences of H. Fixed an orthonormal basis E = {ek}k∈N of H, a bijection αE: Bess(H) → L(H) can be defined. The aim of this paper is to characterize α-1E (A) for different classes of operators A ⊆ L(H). In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.
Compact non-nuclear operator problem
Conditional stability and symmetry in hydrodinamics and mathematical biology
Conservación de convergencias en G(H) por un operador lineal.
Given a real separable Hilbert space H, we denote with S = {E(n) | n belongs to N} a sequence of closed linear subspaces of H.In previous papers, the strong, weak, a--> and b--> convergences are defined and characterized. Now, given a sequence S with strong, weak, a--> or b--> limit, and a linear operator of H, A, the sequence AS is studied.
Ein nicht-klassischer Hilbertscher Raum.
Embedding quasi-metric spaces in Hilbert spaces.
Espaces du type Sobolev sur un espace de Hilbert complexe
Espaces hilbertiens symétriques et produits tensoriels continus
Espacios con producto interior probabilístico.
Probabilistic inner product spaces are studied with detail.
Extensions of two classic kinds of Wachs space operators
Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space
Global existence for a Riccati equation arising in a boundary control problem for distributed parameters
Si prova resistenza globale della soluzione di una equazione di Riccati collegata alla sintesi di un problema di controllo ottimale. Il problema considerato rappresenta la versione astratta di alcuni problemi governati da equazioni paraboliche con il controllo sulla frontiera.
Groups of Isometries on Certain Ideals of Hubert Space Operators.
Hilbert C*-modules and amenable actions
We study actions of discrete groups on Hilbert C*-modules induced from topological actions on compact Hausdorff spaces. We show non-amenability of actions of non-amenable and non-a-T-menable groups, provided there exists a quasi-invariant probability measure which is sufficiently close to being invariant.
Identification and estimation of parameters in abstract Cauchy problems.
Infinite probabilistic secret sharing
A probabilistic secret sharing scheme is a joint probability distribution of the shares and the secret together with a collection of secret recovery functions. The study of schemes using arbitrary probability spaces and unbounded number of participants allows us to investigate their abstract properties, to connect the topic to other branches of mathematics, and to discover new design paradigms. A scheme is perfect if unqualified subsets have no information on the secret, that is, their total share...
Iterated Means of Convex Bodies.
K zobecnění pojmu projektor
Kolmogoroff consistency theorem for Gleason measures