bounded linear operators
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces
... two bounded linear operators A and B is the operator AB ...two operators A and B, by using the triangle inequality and the submultiplicativity of the norm, one can state the following ...
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Semi-Inner Products and the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... Abstract. The main aim of this paper is to establish some connections that exist between the numerical radius w (A) , operator norm kAk and the semi- inner products hA, Ii p,n and hA, Ii p,w with p ∈ {i, s} that can be ...
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Norm and Numerical Radius Inequalities for Sums of Bounded Linear Operators in Hilbert Spaces
... of bounded linear operators in Hilbert ...two bounded linear operators and their applications for the Cartesian decomposition of an operator are also ...
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Hypo-q-Norms on Cartesian Products of Algebras of Bounded Linear Operators on Hilbert Spaces
... Abstract. In this paper we introduce the hypo-q-norms on a Cartesian prod- uct of algebras of bounded linear operators on Hilbert spaces. A representation of these norms in terms of inner products, ...
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Inequalities for Some Functionals Associated with Bounded Linear Operators in Hilbert Spaces
... Let (H, h·, ·i) be a Hilbert space over the real or complex number field K ( K = R , C ) . Let B (H) denote the C ∗ −algebra of all bounded linear operators on a complex Hilbert space H. For A ∈ B (H ...
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Fuzzy n-continuous and n-bounded linear operators
... fuzzy-anti-n-continuous linear operator and three types of fuzzy- anti-n-continuous linear operators,also introduced the concept of fuzzy-anti-n-bounded linear operator and two types of ...
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A note on the spectral operators of scalar type and semigroups of bounded linear operators
... spectral operators of scalar type, the well-known characteriza- tions of the generation of C 0 - and analytic semigroups of bounded linear operators can be reformulated exclusively in terms of ...
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On Statistical and Ideal Convergence of Sequences of Bounded Linear Operators
... Let N = {1, 2, . . . } and let X , Y be two normed spaces over the field K of real numbers R or complex numbers C . A subset Φ of X is called fundamental if the linear span of Φ is dense in X . By B(X , Y ) we ...
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New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces
... [35] J.E. Peˇ cari´ c, S.Puntanen and G. P. H Styan, . Some further matrix extensions of the Cauchy- Schwarz and Kantorovich inequalities, with some statistical applications. Special issue hon- oring Calyampudi ...
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A Functional Associated with Two Bounded Linear Operators in Hilbert Spaces and Related Inequalities
... the operators involved, includ- ing operators satisfying the uniform (α, β) −property and operators for which the transform C α,β (·, ·) is ...
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Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... Motivated by the natural questions that arise, in order to compare the quantity wAB with other expressions comprising the norm or the numerical radius of the involved operators A and B or certain expressions ...
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Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... involved operators A and B (or certain expressions constructed with these operators), we establish in this paper some natural inequalities of the ...
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Convergence for Martingale Sequences of Random Bounded Linear Operators
... independent and have strictly positive elements then under certain conditions, a weak multiplicative law of large numbers exists a.s. The study of the asymptotic behavior of the products of random matrices is of very ...
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Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces
... Dragomir, Some inequalities of the Gr¨ uss type for the numerical radius of bounded linear operators in Hilbert spaces, Preprint, RGMIA Res.. Gustafson and D.K.M.[r] ...
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Some analogues of Knopp’s core theorem
... on infinite matrices of bounded linear operators acting on bounded sequences in a Banach space... KEY WORDS AND PHRASES..[r] ...
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Index Formulas for Countably φ−Set Contraction
... set-contractive operators and obtained a lot of valuable results (see [12, 7, ...contractive operators (0 ≤ k < 1), which was first introduced by Kura- towski at 1930 [11], Stuart, Toland [18] and Amann ...
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Ranges of bimodule projections and conditional expectations
... Examples of Baer rings include: the C*-algebra of all bounded sequences of complex numbers, the ring of bounded linear operators on a Hilbert space, a von Neumann algebra.. an idempotent[r] ...
150
(Lp,Lq)-multiplier problems
... compact group by using the continuous irreducible unitary representations of functions or measures on this group by bounded linear operators on Hilbert spaces... For convenience, the dis[r] ...
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Locally compact semi algebras generated by a commuting operator family
... Conditions are provided for the local compactness of the closed semi-algebra generated by a finite collection of commuting bounded linear operators with equibounded iterates in terms of [r] ...
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A Spectral Analysis of Linear Operator Pencils on Banach Spaces with Application to Quotient of Bounded Operators
... of bounded linear operators acting on X with value on Y ...the linear operator pencils A − λB when B is not necessarily invertible and λ ∈ C ...
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