Results 1 to 10 of about 169 (75)
Invariant manifolds of hypercyclic vectors for the real scalar case [PDF]
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]
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
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)
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
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
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
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
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
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]
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