Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
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 +8 more sources
Vector Inequalities for Powers of Some Operators in Hilbert Spaces [PDF]
Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S
core +7 more sources
Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces [PDF]
In this paper various inequalities between the operator norm and its numerical radius are provided. For this purpose, we employ some classical inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff- Clarke, Dragomir-Sándor and ...
Dragomir, Sever S
core +5 more sources
Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces [PDF]
Some inequalities for the norm and numerical radius of two bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core +5 more sources
Some Inequalities for (α,β)-Normal Operators in Hilbert Spaces [PDF]
An operator T is called (α,β)-normal (0 ≤ α ≤ 1 ≤ β) if α²T*T ≤ TT* ≤ β²T*T. In this paper, we establish various inequalities between the operator norm and its numerical radius of (α,β)-normal operators in Hilbert spaces.
Dragomir, Sever S +1 more
core +6 more sources
Index of symmetry and topological classification of asymmetric normed spaces [PDF]
Let X, Y be asymmetric normed spaces and Lc(X, Y) the convex cone of all linear continuous operators from X to Y. It is known that in general, Lc(X, Y) is not a vector space. The aim of this note is to prove, using the Baire category theorem, that if Lc(X, Y) is a vector space for some asymmetric normed space Y , then X is isomorphic to its associated ...
Bachir, Mohammed, Flores, Gonzalo
openaire +5 more sources
Asymmetric Norms and the dual complexity spaces. [PDF]
Desde el punto de vista de la Ciencia de la Computación, un avance reciente lo ha constituido el establecimiento de un modelo matemático que da cuenta de la distancia entre algoritmos y programas, cuando estos son analizados desde la óptica de la complejidad computacional, entendiendo por complejidad, por ejemplo, la medida del tiempo de computación ...
openaire +2 more sources
Separation axioms and covering dimension of asymmetric normed spaces [PDF]
In this paper, we approach the question if some of the separation axioms are equivalent in the class of asymmetric normed spaces. In particular, we make a remark on a known theorem which states that every $T_1$ asymmetric normed space with compact closed unit ball must be finite-dimensional.
Donjuán, Victor, Jonard-Pérez, Natalia
openaire +3 more sources
Inequalities for the p-Angular Distance in Normed Linear Spaces [PDF]
New upper and lower bounds for the p-angular distance in normed linear spaces are given. Some of the obtained upper bounds are better than the corresponding results due to L. Maligranda recently established in the paper [Simple norm inequalities, Amer.
Dragomir, Sever S
core +6 more sources
Sequence spaces and asymmetric norms in the theory of computational complexity
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García-Raffi, L. M. +2 more
openaire +1 more source

