Results 1 to 10 of about 169 (75)

Invariant manifolds of hypercyclic vectors for the real scalar case [PDF]

open access: yesProc. A.M.S. 127 (1999) pp 1801-1804, 1999
We show that every hypercyclic operator on a real locally convex space admits a dense, invariant linear manifold of hypercyclic vectors.
J. Bes
arxiv   +3 more sources

Some numerical radius inequalities for power series of operators in Hilbert spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2013
By the help of power series f(z)=∑n=0∞anzn, we can naturally construct another power series that has as coefficients the absolute values of the coefficients of f, namely, fa(z):=∑n=0∞|an|zn. Utilizing these functions, we show among others that
S. Dragomir
semanticscholar   +4 more sources

Study on Birkhoff orthogonality and symmetry of matrix operators

open access: yesOpen Mathematics, 2023
We focus on the problem of generalized orthogonality of matrix operators in operator spaces. Especially, on ℬ(l1n,lpn)(1≤p≤∞){\mathcal{ {\mathcal B} }}\left({l}_{1}^{n},{l}_{p}^{n})\left(1\le p\le \infty ), we characterize Birkhoff orthogonal elements of
Wei Yueyue, Ji Donghai, Tang Li
doaj   +1 more source

Applications of Kato’s inequality for n-tuples of operators in Hilbert spaces, (I)

open access: yesJournal of Inequalities and Applications, 2013
In this paper, by the use of the famous Kato’s inequality for bounded linear operators, we establish some inequalities for n-tuples of operators and apply them for functions of normal operators defined by power series as well as for some norms and ...
S. Dragomir, Y. Cho, Young-Ho Kim
semanticscholar   +2 more sources

Norm inequalities of Čebyšev type for power series in Banach algebras

open access: yesJournal of Inequalities and Applications, 2014
Let f(λ)=∑n=0∞αnλn be a function defined by power series with complex coefficients and convergent on the open disk D(0,R)⊂C, R>0 and x,y∈B, a Banach algebra, with xy=yx.
S. Dragomir   +3 more
semanticscholar   +1 more source

Trace inequalities of Shisha-Mond type for operators in Hilbert spaces

open access: yesConcrete Operators, 2017
Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever Silvestru
doaj   +1 more source

Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces

open access: yesActa Universitatis Sapientiae: Mathematica, 2017
Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever S.
doaj   +1 more source

Some Reverses of the Cauchy-Schwarz Inequality for Complex Functions of Self-adjoint Operators in Hilbert spaces

open access: yes, 2014
We give some ratio and difference reverses of the Cauchy–Schwarz inequality for complex functions of self-adjoint operators in Hilbert spaces, under suitable assumptions for the involved operators.
S. Dragomir, M. Moslehian, Y. Cho
semanticscholar   +1 more source

Nuclearity and multipliers between Banach spaces

open access: yes, 2007
Let be a Banach sequence space with a monotone norm ‖ · ‖ , in which the canonical system (ei) is a normalized symmetric basis. Let Λ be the class of such spaces and D( , ) be the space of all diagonal operators (that is multipliers) acting between ,  ∈
E. Karapınar
semanticscholar   +1 more source

Functional calculus estimates for Tadmor-Ritt operators [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 439(1): 103-124, 2016, 2015
We show $H^{\infty}$-functional calculus estimates for Tadmor-Ritt operators (also known as Ritt operators), which generalize and improve results by Vitse. These estimates are in conformity with the best known power-bounds for Tadmor-Ritt operators in terms of the constant dependence.
arxiv   +1 more source

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