Results 1 to 10 of about 5,511 (119)
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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Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.
Heydari Mohammad Taghi
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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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A New Semi-Inner Product and pn-Angle in the Space of p-Summable Sequences
Mathematics, 2023 In this paper, we propose a definition for a semi-inner product in the space of p-summable sequences equipped with an n-norm. Using this definition, we introduce the concepts of pn-orthogonality and the pn-angle between two vectors in the space of p ...
Muh Nur +3 more
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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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Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods.
PLoS ONEKernel methods are widely applied across various domains; however, structural limitations of reproducing kernels in Hilbert spaces pose significant challenges.
Yi Ding, Ying Zhao, Yan Pei
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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 Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces
Mohammadreza Foroutan
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On Non-linear Mappings Preserving the Semi-inner Product
Results in Mathematics, 2023 We say that a smooth normed space $X$ has a property (SL), if every mapping $f:X→X$ preserving the semi-inner product on $X$ is linear. It is well known that every Hilbert space has the property (SL) and the same is true for every finite-dimensional ...
Tomasz Kobos +2 more
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Axioms, 2023 This work aims to develop a new class of accretive mappings and investigate its associated class of proximal mappings. This new class of accretive mappings is known as generalized (Hk,φ)-η-accretive mappings.
Sanjeev Gupta, Nifeen Hussain Altaweel
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