Results 1 to 10 of about 141 (105)
L$_p$-C$^*$-Semi-Inner Product Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 This article introduces the notion of L$_p$-C$^*$-semi-inner product space, a generalization of the concept of C$^*$-semi-inner product space introduced by Gamchi et al., where we consider H\"{o}lder's inequality instead of Cauchy Schwartz' inequality ...
Zakiye Khalili +3 more
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Numerical ranges and complex symmetric operators in semi-inner-product spaces [PDF]
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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$C^{*}$-semi-inner product spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, namely, $C^{*}$-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will ...
Saeedeh Shamsi Gamchi +2 more
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On the semi-inner product in locally convex spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 The purpose of this paper is to introduce the concept of semi-inner products in locally convex spaces and to give some basic properties.
Shih-Sen Chang +2 more
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Semi-Inner Products and the Concept of Semi-Polarity [PDF]
Results in Mathematics, 2015 The lack of an inner product structure in Banach spaces yields the motivation to introduce a semi-inner product with a more general axiom system, one missing the requirement for symmetry, unlike the one determing a Hilbert space. We use it on a finite dimensional real Banach space $(\X, \| \cdot\|)$ to define and investigate three concepts.
Àkos G Horvath +2 more
exaly +3 more sources
Some Improvements of the Cauchy-Schwarz Inequality Using the Tapia Semi-Inner-Product
Mathematics, 2020 The aim of this article is to establish several estimates of the triangle inequality in a normed space over the field of real numbers. We obtain some improvements of the Cauchy–Schwarz inequality, which is improved by using the Tapia semi-inner-product ...
Nicuşor Minculete, Hamid Reza Moradi
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On Non-linear Mappings Preserving the Semi-inner Product
Results in Mathematics, 2023 AbstractWe say that a smooth normed space X has a property (SL), if every mapping $$f:X \rightarrow X$$ f : X → X preserving the semi-inner product on X is linear. It is well known that every Hilbert
Tomasz Kobos +2 more
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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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On the Cauchy-Schwarz inequality and its reverse in semi-inner product C*-modules
Banach Journal of Mathematical Analysis, 2007 There are many known Cauchy-Schwarz-type inequalities which are valid in different frameworks. In this paper we consider the A-valued Cauchy-Schwarz inequality and its reverse in a semi-inner product A-module over the C*-algebra A. Some remarks on the A-valued Cauchy-Schwarz inequality in a semi-inner product A-module over the H*-algebra A are also ...
Dijana Ilišević, Sanja Varošanec
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On the Cauchy–Schwarz inequality and its reverse in 2-*-semi inner product spaces [PDF]
Arabian Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T L Shateri
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