Results 11 to 20 of about 5,801 (165)

Generalized Cauchy–Schwarz Inequalities and A-Numerical Radius Applications

open access: yesAxioms, 2023
The purpose of this research paper is to introduce new Cauchy–Schwarz inequalities that are valid in semi-Hilbert spaces, which are generalizations of Hilbert spaces.
Najla Altwaijry   +2 more
doaj   +1 more source

Approximation of the Hilbert transform in the Lebesgue spaces

open access: yesJournal of Numerical Analysis and Approximation Theory, 2023
The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
doaj   +1 more source

Quasi-inner product spaces of quasi-Sobolev spaces and their completeness

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2018
      Sequences spaces  , m  ,  p  have called quasi-Sobolev spaces were  introduced   by Jawad . K. Al-Delfi in 2013  [1]. In this  paper , we deal with notion of  quasi-inner product  space  by using concept of  quasi-normed  space which is ...
Jawad Kadhim Khalaf Al-Delfi
doaj   +1 more source

About the Legendre type operators [PDF]

open access: yesE3S Web of Conferences, 2021
The article considers Legendre type operators acting in the corresponding weight separable Hilbert spaces. The choice of these spaces is due to the fact that these operators preserve all properties of the Legendre operator acting on L2 (-1,1).
Maleko Evgeny
doaj   +1 more source

New Properties of Dual Continuous K-g-Frames in Hilbert Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
The concept of frames in Hilbert spaces continues to play a very interesting role in many kinds of applications. In this paper, we study the notion of dual continuous K-g-frames in Hilbert spaces. Also, we establish some new properties.
Abdeslam Touri   +2 more
doaj   +1 more source

Imaginaries in Hilbert spaces [PDF]

open access: yesArchive for Mathematical Logic, 2004
The paper is a contribution to the model theory of Hilbert spaces. The authors work in a ``big'' Hilbert space \(\mathcal H\) and consider it as a multi-sorted structure whose sorts are the balls \(\{v: \| v\| \leq n\}\), for \(n0}\), all \(\lambda_i\) are in \(\mathbb R\) or \(\mathbb C\) (depending of the ground field of \(\mathcal H\)), and all ...
Itay Ben-Yaacov, Alexander Berenstein
openaire   +1 more source

Bayes Hilbert Spaces

open access: yesAustralian & New Zealand Journal of Statistics, 2014
SummaryA Bayes linear space is a linear space of equivalence classes of proportional σ‐finite measures, including probability measures. Measures are identified with their density functions. Addition is given by Bayes' rule and substraction by Radon–Nikodym derivatives. The present contribution shows the subspace of square‐log‐integrable densities to be
Boogaart, K. Gerald van den   +2 more
openaire   +3 more sources

Linear algebra and differential geometry on abstract Hilbert space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n-dimensional vector spaces. However, while n-dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as ...
Alexey A. Kryukov
doaj   +1 more source

TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT

open access: yesBarekeng, 2011
Hilbert space is a very important idea of the Davids Hilbert invention. In 1907, Riesz and Fréchet developed one of the theorem in Hilbert space called the Riesz-Fréchet representation theorem.
Mozart W. Talakua, Stenly J. Nanuru
doaj   +1 more source

New Results on Boas–Bellman-Type Inequalities in Semi-Hilbert Spaces with Applications

open access: yesAxioms, 2023
In this article, we investigate new findings on Boas–Bellman-type inequalities in semi-Hilbert spaces. These spaces are generated by semi-inner products induced by positive and positive semidefinite operators.
Najla Altwaijry   +2 more
doaj   +1 more source

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