Results 31 to 40 of about 4,790,611 (321)

Linear dynamical systems on Hilbert spaces: typical properties and explicit examples [PDF]

open access: yes, 2017
We solve a number of questions pertaining to the dynamics of linear operators on Hilbert spaces, sometimes by using Baire category arguments and sometimes by constructing explicit examples. In particular, we prove the following results.
S. Grivaux, É. Matheron, Q. Menet
semanticscholar   +1 more source

Application of symmetric analytic functions to spectra of linear operators

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space.
I. Burtnyak   +4 more
doaj   +1 more source

Frames in Quaternionic Hilbert Spaces [PDF]

open access: yesZurnal matematiceskoj fiziki, analiza, geometrii, 2017
In this paper, we introduce and study the frames in separable quaternionic Hilbert spaces. Results on the existence of frames in quaternionic Hilbert spaces have been given.
S. Sharma, Shashank Goel
semanticscholar   +1 more source

The Split Various Variational Inequalities Problems for Three Hilbert Spaces

open access: yesAxioms, 2020
There are many methods for finding a common solution of a system of variational inequalities, a split equilibrium problem, and a hierarchical fixed-point problem in the setting of real Hilbert spaces. They proved the strong convergence theorem.
Chinda Chaichuay, Atid Kangtunyakarn
doaj   +1 more source

Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

open access: yesJournal of Function Spaces, 2021
In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts.
Andriy Zagorodnyuk, Zoriana Novosad
doaj   +1 more source

Density of sampling and interpolation in reproducing kernel Hilbert spaces [PDF]

open access: yesJournal of the London Mathematical Society, 2016
We derive necessary density conditions for sampling and for interpolation in general reproducing kernel Hilbert spaces satisfying some natural conditions on the geometry of the space and the reproducing kernel.
H. Führ   +4 more
semanticscholar   +1 more source

On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping

open access: yesJournal of Function Spaces, 2016
The concept of b-frame which is a generalization of the frame in Hilbert spaces generated by the bilinear mapping is considered. b-frame operator is defined; analogues of some well-known results of frame theory are obtained in Hilbert spaces.
Migdad Ismailov   +2 more
doaj   +1 more source

Convexity and the Euclidean Metric of Space-Time

open access: yesUniverse, 2017
We address the reasons why the “Wick-rotated”, positive-definite, space-time metric obeys the Pythagorean theorem. An answer is proposed based on the convexity and smoothness properties of the functional spaces purporting to provide the kinematic ...
Nikolaos Kalogeropoulos
doaj   +1 more source

Phase retrieval in infinite-dimensional Hilbert spaces [PDF]

open access: yes, 2016
The main result of this paper states that phase retrieval in infinite-dimensional Hilbert spaces is never uniformly stable, in sharp contrast to the finite dimensional setting in which phase retrieval is always stable.
Jameson Cahill   +2 more
semanticscholar   +1 more source

Woven Frames in Quaternionic Hilbert Spaces

open access: yesJournal of Mathematics, 2021
In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces.
S. K. Sharma   +2 more
doaj   +1 more source

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