Results 51 to 60 of about 373,665 (180)
Linear inverse problems for integro-differential equations in Banach spaces with a bounded operator
Современная математика: Фундаментальные направленияIn this paper, we study the questions of well-posedness of linear inverse problems for equations in Banach spaces with an integro-differential operator of the Riemann-Liouville type and a bounded operator at the unknown function.
V. E. Fedorov, A. D. Godova
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Some Properties of Continuous $K$-frames in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 The theory of continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory.
Gholamreza Rahimlou +3 more
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Modules and Bounded Linear Operators
Journal of Al-Nahrain University-Science, 2016 An associated R-module of T, which is denoted by V_(T,T^* ) is given, Where V is an inner product space and T is bounded linear operator on V. We study in this paper properties of T which effects V_(T,T^* ) and conversely.
Muna Jasim, Manal Ali
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Exponential Function of a bounded Linear Operator on a Hilbert Space.
مجلة بغداد للعلوم, 2014 In this paper, we introduce an exponential of an operator defined on a Hilbert space H, and we study its properties and find some of properties of T inherited to exponential operator, so we study the spectrum of exponential operator e^T according to the
Baghdad Science Journal
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Totally Bounded Sets of Precompact Linear Operators [PDF]
Proceedings of the American Mathematical Society, 1969 1. Introduction. In this paper several characterizations of totally bounded sets of precompact operators are given. These lead to an affirmative solution of the conjecture that a collectively compact set A is totally bounded iff Si*= {K*: KCSi} is collectively compact.
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L0-Linear Modulus of a Random Linear Operator
Abstract and Applied Analysis, 2014 We prove that there exists a unique L0-linear modulus for an a.s. bounded random linear operator on a specifical random normed module, which generalizes the classical case.
Ming Liu, Xia Zhang
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Restrictions of bounded linear operators: Closed range [PDF]
Proceedings of the American Mathematical Society, 2006 Let \(X\) be a Banach space and \(W\) a linear subspace of \(X\) which is a continuously embedded Banach space. Let \(T\) be an operator on \(X\) such that \(W\) is \(T\)-invariant, and let \(T_W\) be the restriction of \(T\) to \(W\), which is continuous on \(W\) by the closed graph theorem.
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Cosine of angle and center of mass of an operator
, 2010 We consider the notion of real center of mass and total center of mass of a bounded linear operator relative to another bounded linear operator and explore their relation with cosine and total cosine of a bounded linear operator acting on a complex ...
Das, Gopal, Paul, Kallol
core
Electronic Journal of Qualitative Theory of Differential Equations, 2004 Unimprovable efficient conditions are established for the existence and uniqueness of a nonnegative solution of the problem $$ u^{\prime}(t)=\ell(u)(t)+q(t), \ \ \ \ u(a)=h(u)+c, $$ where $\ell:C([a,b];\mathbb{R})\rightarrow L([a,b];\mathbb{R})$ is a ...
A. Lomtatidze, Zdenek Oplustil
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