Results 11 to 20 of about 15,121 (310)
Arab Journal of Mathematical Sciences, 2017 In this paper, we define and study subspace-diskcyclic operators. We show that subspace-diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and use it to find a subspace-diskcyclic operator that is not subspace ...
Nareen Bamerni, Adem Kılıçman
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Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
, 2006 The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 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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The Study of Felbin and $BS$ Fuzzy Normed Linear Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we first show that the induced topologies by Felbin and Bag-Samanta type fuzzy norms on a linear space $X$ are equivalent. So all results in Felbin-fuzzy normed linear spaces are valid in Bag-Samanta fuzzy normed linear spaces and vice ...
Farnaz Yaqub Azari, Ildar Sadeqi
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Some Inequalities of the Gruss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities of the Gr¨ uss type for the numerical radius of bounded linear operators in Hilbert spaces are ...
S. S. Dragomir +2 more
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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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Some inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]
, 2008 Some inequalities for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Sever S. Dragomir +2 more
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Linear operations in Saks spaces (I) [PDF]
Studia Mathematica, 1950 L'A. appelle \( F \)-norme sur un espace vectoriel réel \( X \) une fonction \( x \rightarrow\|x\| \) telle que: 1) \( \|x\|=0 \) équivaut à \( x=0 ; \) 2) \( \|x+y\| \leq\|x\|+\|y\| ; 3) \) si \( \lambda_{n} \rightarrow \lambda \) et \( \left\|x_{n}-x\right\| \rightarrow 0 \), alors \( \left\|\lambda_{n} x_{n}-\lambda x\right\| \rightarrow 0 \). Si \(
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Iterative Schemes Involving Several Mutual Contractions
Mathematics, 2023 In this paper, we introduce the new concept of mutual Reich contraction that involves a pair of operators acting on a distance space. We chose the framework of strong b-metric spaces (generalizing the standard metric spaces) in order to add a more ...
María A. Navascués +3 more
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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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