Results 41 to 50 of about 20,498 (195)

Sampling in a Hilbert space [PDF]

Proceedings of the American Mathematical Society, 1996
An analog of the Whittaker-Shannon-Kotel′nikov sampling theorem is derived for functions with values in a separable Hilbert space. The proof uses the concept of frames and frame operators in a Hilbert space. One of the consequences of this theorem is that it allows us to derive sampling theorems associated with boundary-value problems and some ...
openaire   +4 more sources

Woven Frames in Quaternionic Hilbert Spaces

Journal 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, Nitin Sharma, Khole Timothy Poumai   +2 more
doaj   +1 more source

Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property

Axioms
We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small enough.
Yarema A. Prykarpatskyy, Petro Ya. Pukach, Myroslava I. Vovk, Michal Greguš   +3 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

Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces

Journal of Function Spaces and Applications, 2012
This paper presents a generalization of the concept and uses of projected dynamical systems to the case of nonpivot Hilbert spaces. These are Hilbert spaces in which the topological dual space is not identified with the base space.
Monica Gabriela Cojocaru, Stephane Pia
doaj   +1 more source

The distortion of Hilbert space

Geometric and Functional Analysis, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Odell, E., Schlumprecht, Th.
openaire   +3 more sources

g-Bases in Hilbert Spaces

Abstract and Applied Analysis, 2012
The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert spaces. Some results about g-bases are proved. In particular, we characterize the g-bases and g-orthonormal bases. And the dual g-bases are also discussed.
Xunxiang Guo
doaj   +1 more source

Some properties of weaving K-frames in n-Hilbert space

AIMS Mathematics
$ K $-frames are more generalized than ordinary frames, particularly in terms of their weaving properties. The study of weaving $ K $-frames in Hilbert space has already been explored. Given the significance of $ n $-Hilbert spaces in functional analysis,
Gang Wang
doaj   +1 more source

HILBERT SPACES

, 2022
Infinite-dimensional systems are widely used to represent many phenomena in the real-world such as properties of elastic material, fluid dynamics, heat conduction, reaction-diffusion processes, etc. A study of the parameters like concentration, temperature, velocity, displacement, etc., are commonly assigned as a state variable.
openaire   +2 more sources

Frames associated with an operator in spaces with an indefinite metric

AIMS Mathematics, 2023
In the present paper, we study frames associated with an operator ($ \mathcal{W} $-frames) in Krein spaces, and we give the definition of frames associated with an operator depending on the adjoint of the operator in the Krein space (Definition 4.1).
Osmin Ferrer Villar , Jesús Domínguez Acosta, Edilberto Arroyo Ortiz   +2 more
doaj   +1 more source