Comment on ”Non-Hermitian quantum mechanics with minimal length uncertainty”.
Commuting idempotents of an -algebra.
Compact non-nuclear operator problem
Conditional stability and symmetry in hydrodinamics and mathematical biology
Conditionally positive definite functions on linear spaces
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.
Continuous tensor products of Hilbert spaces and product operators
Cryptohermitian picture of scattering using quasilocal metric operators.
Curvatures and Curves in Hilbert Space.
Description of all regular cones in a Hilbert space.
Diagonals of Self-adjoint Operators with Finite Spectrum
Given a finite set X⊆ ℝ we characterize the diagonals of self-adjoint operators with spectrum X. Our result extends the Schur-Horn theorem from a finite-dimensional setting to an infinite-dimensional Hilbert space analogous to Kadison's theorem for orthogonal projections (2002) and the second author's result for operators with three-point spectrum (2013).
Dilatations des commutants d'opérateurs pour des espaces de Krein de fonctions analytiques
Soient et deux espaces de Krein de fonctions analytiques dans le disque unité invariants pour l’opérateur de déplacement à gauche et soit un opérateur linéaire continu de dans dont l’adjoint commute avec . Nous étudions les dilatations de qui conservent cette propriété de commutation et pour lesquelles les formes hermitiennes définies par et ont le même nombre de carrés négatifs. Nous obtenons ainsi une version du théorème de dilatation des commutants d’opérateurs dans le cadre...
Dirac structures on Hilbert spaces.
Directionally Euclidean structures of Banach spaces
We study Banach spaces with directionally asymptotically controlled ellipsoid-approximations of the unit ball in finite-dimensional sections. Here these ellipsoids are the unique minimum volume ellipsoids, which contain the unit ball of the corresponding finite-dimensional subspace. The directional control here means that we evaluate the ellipsoids by means of a given functional of the dual space. The term 'asymptotical' refers to the fact that we take 'lim sup' over finite-dimensional subspaces. ...
Effective solutions of some dual integral equations and their applications
Integral equations of the form (2) below, dual to (1) are studied from the point of view of finding their effective solutions, the results being given in Section 1. The results are applied in Section 2 for solving nonlocal problems for the polyharmonic functions in the half plane.
Ein nicht-klassischer Hilbertscher Raum.
Embedding quasi-metric spaces in Hilbert spaces.
Embeding weakly compact sets
Ensembles absorbants pour les classes projectives
We prove the existence, in the Hilbert space, of an absorbing set for the nth projective class.
Equilibria and Stability in Set-Valued Analysis: a Viability Approach