Results 21 to 30 of about 14,463 (306)
About Riesz theory of compact operators
Bibechana, 2012 In this paper, it is shown that every compact operators are bounded and continuous. The bounded and continuous properties of an operator is sufficient for a Riesz operator.
Nagendra Pd Sah
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Projections in the spaces of bounded linear operations [PDF]
Pacific Journal of Mathematics, 1974 For Banach spaces X, Z, let B(X, Z) denote the space of bounded linear operators from X into Z and K(X, Z) (resp. W(X, Z)) the subspace of compact (resp. weakly compact) operators. It is shown that (a) if X contains an isomorph of Co, then K(X, Γ) is not complemented in B(X, Γ), (b) if S is a compact Hausdorff space which is not scattered, then K(C(S),
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Mathematics, 2020 We consider a linear continuous-time control system with time-invariant linear bounded operator coefficients in a Hilbert space. The controller in the system has the form of linear state feedback with a time-varying linear bounded gain operator function.
Vasilii Zaitsev, Marina Zhuravleva
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On the adjoint of a symmetric operator [PDF]
, 2007 In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S. +47 more
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Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces [PDF]
, 2006 Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are given. Their connection with Kittaneh’s recent results which provide sharp upper and lower bounds for the numerical radius of linear operators are ...
Dragomir, Sever S., Dragomir, Sever S
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On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces
Journal of Function Spaces and Applications, 2008 Given a bounded linear operator T:LPO(ℝn)→Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn;ιq) spaces and Triebel-Lizorkin spaces Fp,qs(ℝn).
João Pedro Boto
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Note on the Invariance Properties of Operator Products Involving Generalized Inverses
Abstract and Applied Analysis, 2014 We investigate further the invariance properties of the bounded linear operator product AC1 B1 D and its range with respect to the choice of the generalized inverses X and Y of bounded linear operators.
Xiaoji Liu, Miao Zhang, Yaoming Yu
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Bounded linear operators between C∗-algebras [PDF]
Duke Mathematical Journal, 1993 Let $u:A\to B$ be a bounded linear operator between two $C^*$-algebras $A,B$. The following result was proved by the second author. Theorem 0.1. There is a numerical constant $K_1$ such that for all finite sequences $x_1,\ldots, x_n$ in $A$ we have $$\leqalignno{&\max\left\{\left\|\left(\sum u(x_i)^* u(x_i)\right)^{1/2}\right\|_B, \left\|\left(\sum
Haagerup, Uffe, Pisier, Gilles
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How to differentiate a quantum stochastic cocycle. [PDF]
, 2010 Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin +2 more
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Bounded and Continuous Linear Operators on Linear 2-Normed Space [PDF]
, 2020 In this article, at first basic definitions and properties of linear 2-normed space are presented. Then the author defines bounded operator as an introduction to defined norm of an operator.
Sabri, Raghad I.; Applied Science Department, University of Technology, Baghdad.
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