Results 21 to 30 of about 3,589,565 (274)
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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On asymptotic behaviour at infinity and the finite section for integral equations on the half-line [PDF]
, 1994 We consider integral equations on the half-line of the form and the finite section approximation to x obtained by replacing the infinite limit of integration by the finite limit β.
Chandler-Wilde, SN
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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 A TAUBERIAN CONDITION FOR BOUNDED LINEAR OPERATORS [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2009 Let \(T\) be a bounded linear operator on a complex Banach space \(X\). The operator \(T\) is called power bounded if there is a constant \(C\) such that \(\| T^{n} \| \leq C\) for all \(n = 1,2,\dots\). The main results of the paper are the following. Assume that the operator \(T\) satisfies the Tauberian condition \[ \sup_{n \geq 1} (n + 1) \| (I - T)
Malinen, J., Nevanlinna, O., Yuan, Z.
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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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Some results on S-numerical range of operator matrices
Zanco Journal of Pure and Applied Sciences, 2020 A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of the Hilbert space. In this paper, we found an approximation of the S-numerical range of bounded and unbounded operator matrices by ...
Berivan Faris Azeez , Ahmed Muhammad
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Generalized atomic subspaces for operators in Hilbert spaces [PDF]
Mathematica Bohemica, 2022 We introduce the notion of a $g$-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of $g$-fusion frames.
Prasenjit Ghosh, Tapas Kumar Samanta
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Linear Quadratic Optimal Control Problem for Linear Stochastic Generalized System in Hilbert Spaces
Mathematics, 2022 A finite-horizon linear stochastic quadratic optimal control problem is investigated by the GE-evolution operator in the sense of the mild solution in Hilbert spaces.
Zhaoqiang Ge
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