Results 21 to 30 of about 327,876 (275)
Classification of Complex Fuzzy Numbers and Fuzzy Inner Products
Mathematics, 2020 The paper is concerned with complex fuzzy numbers and complex fuzzy inner product spaces. In the classical complex number set, a complex number can be expressed using the Cartesian form or polar form. Both expressions are needed because one expression is
Jin Hee Yoon +3 more
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Numerical ranges and complex symmetric operators in semi-inner-product spaces
Journal of Inequalities and Applications, 2022 We introduce the numerical range of a bounded linear operator on a semi-inner-product space. We compute the numerical ranges of some operators on ℓ 2 p ( C ) $\ell _{2}^{p}(\mathbb{C})$ ( 1 ≤ p < ∞ ) $(1\le p < \infty )$ and show that the numerical range
Il Ju An, Jaeseong Heo
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$n$-inner product spaces and projections [PDF]
, 2000 summary:This paper is a continuation of investigations of $n$-inner product spaces given in \cite{five,six,seven} and an extension of results given in \cite{three} to arbitrary natural $n$.
Ryż, Alicja, Misiak, Aleksander
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On complete-cocomplete subspaces of an inner product space [PDF]
, 1991 summary:In this note we give a measure-theoretic criterion for the completeness of an inner product space. We show that an inner product space $S$ is complete if and only if there exists a $\sigma $-additive state on $C(S)$, the orthomodular poset of ...
Hedlíková, Jarmila +3 more
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Considerations about the several inequalities in an inner product space
, 2018 The aim of this paper is to show new results concerning the Cauchy-Schwarz inequality in an inner product space. We find an improvement of Buzano’s inequality and Richard’s inequality, which are extensions of the Cauchy-Schwarz inequality.
N. Minculete
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Quasi-inner product spaces of quasi-Sobolev spaces and their completeness
Ibn 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
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On characterizations of inner product spaces [PDF]
Proceedings of the American Mathematical Society, 1975 The characterizations of inner product norms given by Tapia [10] make use of a generalized inner product in normed spaces. I shall give simpler proofs and a sharper result using a more geometrical approach. 1. The generalized inner product of a norm. Let /: V -R be a function defined on the real vector space V.
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Annales de Didactique et de Sciences Cognitives, 2018 The purpose of this research study was to understand how linear algebra students in a university in the United States make sense of the orthogonal Legendre polynomials as vectors of the inner product space ℙn in a DGS (Dynamic Geometry Software)-MATLAB ...
Günhan Caglayan
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Partial inner product spaces and semi-inner product spaces
Advances in Mathematics, 1981 AbstractA comparison is made between the two objects mentioned in the title. Connections between them are threefold: (i) both are particular instances of dual pairs of locally convex spaces; (ii) many partial inner product spaces consist of chains or lattices of semi-inner product spaces; (iii) the basic structure behind both of them is that of Galois ...
Antoine, J.P, Gustafson, K
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The Partial Inner Product Space Method: A Quick Overview
Advances in Mathematical Physics, 2010 Many families of function spaces play a central role in analysis, in particular, in signal processing (e.g., wavelet or Gabor analysis). Typical are 𝐿𝑝 spaces, Besov spaces, amalgam spaces, or modulation spaces. In all these cases, the parameter indexing
Jean-Pierre Antoine, Camillo Trapani
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