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Fuzzy Hilbert Spaces [PDF]

open access: yesEngineering and Technology Journal, 2010
we introduce the definition of afuzzy inner product space and discuss someproperties of this space,and we use the definition of fuzzy inner product space tointroduced anew definitions such that the definition of fuzzy Hilbert space ,Fuzzyconvergence ...
Jehad R.Kider, Ragahad Ibrahaim Sabre
doaj   +1 more source

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

Some inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]

open access: yes, 2008
Some inequalities for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Sever S. Dragomir   +2 more
core   +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

Some Inequalities of the Gruss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces [PDF]

open access: yes, 2008
Some inequalities of the Gr¨ uss type for the numerical radius of bounded linear operators in Hilbert spaces are ...
S. S. Dragomir   +2 more
core   +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

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