Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities for the norm and numerical radius of two bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core +5 more sources
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces [PDF]
, 2006 Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core +6 more sources
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some new inequalities for commutators that complement and in some instances improve recent results obtained by F. Kittaneh in 'Inequalities for commutators of positive operators' (2007) and 'Norm inequalities for commutators of Hilbert space operators ...
Dragomir, Sever S
core +6 more sources
Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces [PDF]
, 2006 Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are given. Their connection with Kittaneh’s recent results which provide sharp upper and lower bounds for the numerical radius of linear operators are ...
Dragomir, Sever S., Dragomir, Sever S
core +7 more sources
Cyclic behaviour of Volterra composition operators [PDF]
, 2011 We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin +5 more
core +1 more source
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
core +2 more sources
Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities of the Grüss Type type for the numerical radius of bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core +5 more sources
Nonlinear Spectrum and Fixed Point Index for a Class of Decomposable Operators
Mathematics, 2021 We study a class of nonlinear operators that can be written as the composition of a linear operator and a nonlinear map. We obtain results on fixed point index based on parameters that are related to the definitions of nonlinear spectra.
Shugui Kang, Yanlei Zhang, Wenying Feng
doaj +1 more source
Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
Journal of Function Spaces, 2015 We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative ...
Ce-Zhong Tong, Cheng Yuan, Ze-Hua Zhou
doaj +1 more source
Journal of Inequalities and Applications, 2021 In this paper, we characterize completely the compactness of linear combinations of composition operators acting on the space H ∞ ( B N ) $H^{\infty }(\mathbb{B}_{N})$ of bounded holomorphic functions over the unit ball B N $\mathbb{B}_{N}$ from two ...
Xingxing Yao
doaj +1 more source