Results 11 to 20 of about 6,008 (260)
Bounds for the Davis–Wielandt radius of bounded linear operators [PDF]
Annals of Functional Analysis, 2020 20 ...
Pintu Bhunia +3 more
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Continuity of Bounded Linear Operators on Normed Linear Spaces [PDF]
Formalized Mathematics, 2018 Summary In this article, using the Mizar system [1], [2], we discuss the continuity of bounded linear operators on normed linear spaces. In the first section, it is discussed that bounded linear operators on normed linear spaces are uniformly continuous and Lipschitz continuous.
Kazuhisa Nakasho +2 more
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Ultrametric Fredholm operators and approximate pseudospectrum [PDF]
Arab Journal of Mathematical SciencesPurposeThe paper deals with ultrametric bounded Fredholm operators and approximate pseudospectra of closed and densely defined (resp. bounded) linear operators on ultrametric Banach spaces.Design/methodology/approachThe author used the notions of ...
Jawad Ettayb
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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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Metatimes, random measures and cylindrical random variables
Modern Stochastics: Theory and Applications, 2021 Metatimes constitute an extension of time-change to general measurable spaces, defined as mappings between two σ-algebras. Equipping the image σ-algebra of a metatime with a measure and defining the composition measure given by the metatime on the domain
Fred Espen Benth, Iben Cathrine Simonsen
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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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STRUCTURED CONDITION PSEUDOSPECTRA AND STRUCTURED ESSENTIAL CONDITION PSEUDOSPECTRA OF BOUNDED LINEAR OPERATORS ON ULTRAMETRIC BANACH SPACES [PDF]
Journal of Algebraic SystemsIn this paper, we introduce and study the structured condition pseudospectra and the structured essential condition pseudospectra of bounded linear operators on ultrametric Banach spaces.
Jawad Ettayb
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Linear maps preserving equivalence or asymptotic equivalence on Banach space
Open Mathematics, 2023 Let XX be a complex Banach space with dimension at least two and B(X)B\left(X) the algebra of all bounded linear operators on XX. We show that a bijective linear map Φ\Phi preserves asymptotic equivalence if and only if it preserves equivalence, and in ...
Qin Zijie, Chen Lin
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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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The uniform boundedness principle for order bounded operators
International Journal of Mathematics and Mathematical Sciences, 1989 Under appropriate hypotheses on the spaces, it is shown that a sequence of order bounded linear operators which is pointwise order bounded is uniformly order bounded on order bounded subsets.
Charles Swartz
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