Results 31 to 40 of about 210,506 (318)

One result on boundedness of the Hilbert transform in Marcinkiewics spaces

Вестник КазНУ. Серия математика, механика, информатика, 2022
In mathematics and in signal theory, the Hilbert transform is an important linear operator that takes a real-valued function and produces another real-valued function.
Nurken Tursynbayuly Bekbayev, K. S. Tulenov   +1 more
doaj   +1 more source

Application of symmetric analytic functions to spectra of linear operators

Karpatsʹkì 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, I. Chernega, V. Hladkyi, O. Labachuk, Z. Novosad   +4 more
doaj   +1 more source

The Split Various Variational Inequalities Problems for Three Hilbert Spaces

Axioms, 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

Journal 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

A Primer on Reproducing Kernel Hilbert Spaces

, 2015
Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and explaining when
Amblard, Pierre-Olivier, Manton, Jonathan H.   +1 more
core   +3 more sources

Isomorphic Schauder decompositions in certain Banach spaces [PDF]

, 2013
We extend a theorem of Kato on similarity for sequences of projections in Hilbert spaces to the case of isomorphic Schauder decompositions in certain Banach spaces.
Marchenko, Vitalii
core   +2 more sources

Convexity and the Euclidean Metric of Space-Time

Universe, 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

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

Journal 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, Fatima Guliyeva, Yusif Nasibov   +2 more
doaj   +1 more source

Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

Journal of Mathematics, 2021
In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding ...
Danfeng Wu, Li-Jun Zhu, Zhuang Shan, Tzu-Chien Yin   +3 more
doaj   +1 more source

Interpolation Hilbert spaces between Sobolev spaces

, 2014
We explicitly describe all Hilbert function spaces that are interpolation spaces with respect to a given couple of Sobolev inner product spaces considered over $\mathbb{R}^{n}$ or a half-space in $\mathbb{R}^{n}$ or a bounded Euclidean domain with ...
Mikhailets, Vladimir A., Murach, Aleksandr A.   +1 more
core   +1 more source