Results 31 to 40 of about 450 (171)
A polynomial characterization of Hilbert spaces
Collectanea mathematica, 2010 Let \(X\) and \(Y\) be Banach spaces and \(m\) be a positive integer. A (continuous) mapping \(P: X\to Y\) is said to be an \(m\)-homogeneous polynomial if there is a (continuous) symmetric \(m\)-linear mapping \({\buildrel\vee\over P}: X\times X\times\dots\times X\to Y\) such that \(P(x)={\buildrel\vee\over P}(x,\dots,x)\) for all \(x\) in \(X\). An \(
Achour, Dahmane, Saadi, Khalil
openaire +3 more sources
Maximal functions for groups of operators. [PDF]
, 2000 Let Δ be the Laplace operator on d and 1 < δ < 2. Using transference methods we show that, for max {q, q/(q – 1)} < 4d/(2d + 1 – δ), the maximal function for the Schrödinger group is in Lq, for f Lq with Δδ/2 f Lq. We obtain a similar result for the Airy
Blower, G. +2 more
core
Interpolation Between Hilbert Spaces
, 2019 This note comprises a synthesis of certain results in the theory of exact interpolation between Hilbert spaces. In particular, we examine various characterizations of interpolation spaces and their relations to a number of results in operator theory and ...
Yacin Ameur, Ameur, Yacin
core +1 more source
Bicircular projections and characterization of Hilbert spaces [PDF]
Proceedings of the American Mathematical Society, 2004 We prove that every JB* triple with rank one bicircular projection is a direct sum of two ideals, one of which is isometrically isomorphic to a Hilbert space.
Stachó, László L., Zalar, Borut
openaire +1 more source
A Characterization for reproducing kernel Hilbert spaces
Journal of Mathematical Analysis and Applications, 1974 AbstractLet G(t, s) be the Green's functions associated with N, a differential operator restricted to certain boundary conditions. Define (u, v)N = (Nu, v)L2. It is shown that the reproducing kernel Hilbert space generated by G is the same as the Hilbert-space completion with respect to ∥ · ∥N of the set of real valued functions which are in C2n and ...
openaire +2 more sources
Characterizations of certain classes of infinite dimensional metrizable spaces
, 1985 We shall give the characterizations of metrizable spaces that have both large transfinite dimension Ind and strong small transfinite dimension sind in terms of ranks and developments.
Yasunao Hattori, Hattori, Yasunao
core +1 more source
Hypocoercivity in Hilbert Spaces
, 2023 The concept of hypocoercivity for linear evolution equations with dissipation is discussed and equivalent characterizations that were developed for the finite-dimensional case are extended to separable Hilbert spaces.
Mehrmann, Volker +3 more
core
Characterizations of the Automorphisms¶of Hilbert Space Effect Algebras [PDF]
Communications in Mathematical Physics, 2001 15 pages. To appear in Commun.
openaire +3 more sources
The Proportional Uap Characterizes Weak Hilbert Spaces
Journal of the London Mathematical Society, 1991 We prove that a Banach space has the uniform approximation property with proportional growth of the uniformity function iff it is a weak Hilbert space.
Johnson, W. B., Pisier, G.
openaire +3 more sources
Characterization of Hilbert spaces by the strong law of large numbers
, 1986 Hilbert spaces are characterized through the validity of the strong law of large numbers.
Kawabe, Jun
core +1 more source