Results 21 to 30 of about 5,610 (218)
The Participatory Position of the User in the Design Process of Residential Spaces [PDF]
برنامه ریزی فضایی, 2023 :Statement of the Problem: Different people and strata in human societies need a shelter called housing. The design process of this type of space is done in different ways, and the possibility of using the user's opinions during this process has always ...
Hamed Beyti +2 more
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On the semi‐inner product in locally convex spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 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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On the uniqueness of minimal projections in Banach spaces [PDF]
Opuscula Mathematica, 2012 Let \(X\) be a uniformly convex Banach space with a continuous semi-inner product. We investigate the relation of orthogonality in \(X\) and generalized projections acting on \(X\). We prove uniqueness of orthogonal and co-orthogonal projections.
Ewa Szlachtowska, Dominik Mielczarek
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On The Adjoint of Bounded Operators On A Semi-Inner Product Space
Journal of the Indonesian Mathematical Society, 2023 The notion of semi-inner product (SIP) spaces is a generalization of inner product (IP) spaces notion by reducing the positive definite property of the product to positive semi-definite. As in IP spaces, the existence of an adjoint of a linear operator on a SIP space is guaranteed when the operator is bounded.
Respitawulan, R. +4 more
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On the Semi-Group Property of the Perpendicular Bisector in a Normed Space
Axioms, 2022 Let (X,d) be a metric linear space and a∈X. The point a divides the space into three sets: Ha = {x ∈ X: d(0,x) < d(x,a)}, Ma = {x ∈ X: d(0,x) = d(x,a)} and La = {x ∈ X: d(0,x) > d(x,a)}. If the distance is generated by a norm, Ha is called the Leibnizian
Gheorghiță Zbăganu
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Semi-inner-product spaces [PDF]
Transactions of the American Mathematical Society, 1961 function as a particular Banach space (whose norm satisfies the parallelogram law), but rather as an inner-product space. It is in terms of the innerproduct space structure that most of the terminology and techniques are developed. On the other hand, this type of Hilbert space considerations find no real parallel in the general Banach space setting ...
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Frames for operators in Banach spaces via semi-inner products [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2016 In this paper, the concept of a family of local atoms in a Banach space is introduced by using a semi-inner product (s.i.p.). Then this concept is generalized to an atomic system for operators in Banach spaces. We also give some characterizations of atomic systems leading to new frames for operators.
Bahram Dastourian, Mohammad Janfada
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A New Seminorm for d-Tuples of A-Bounded Operators and Their Applications
Mathematics, 2023 The aim of this paper was to introduce and investigate a new seminorm of operator tuples on a complex Hilbert space H when an additional semi-inner product structure defined by a positive (semi-definite) operator A on H is considered.
Najla Altwaijry +2 more
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Improved estimates for the triangle inequality
Journal of Inequalities and Applications, 2017 We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail.
Nicuşor Minculete, Radu Păltănea
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On semi inner product spaces over quaternions [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1984 AbstractIn this note semi inner product spaces over quaternions are studied. We investigate the properties of complex strict convexity over C, left and right Q-complex strict convexity over Q, and left and right quaternion strict convexity. Finally we discuss the permanence properties with respect to formation of products.
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