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Cesáro-like operators on the Hardy and Bergman spaces of the half plane
(Springer International Publishing, 2016-01-01)
We construct integral operators associated with strongly continuous groups of invertible isometries on the Hardy spaces and the weighted Bergman spaces of the upper half plane. Specifically, we obtain the spectrum and point ...
Norms of Derivations Implemented by S-Universal Operators
(International Journal of Mathematical Analysis, 2011)
Let H be a complex Hilbert space and B(H) the algebra of all
bounded linear operators on H. For A, B ∈ B(H), we define inner
derivations implemented by A,B respectively on B(H) by ΔA(X) =
AX−XA, ΔB(X) = BX−XB and a ...
On the Generalized Reid Inequality and the Numerical Radii
(Applied Mathematical Sciences, 2011)
In this paper, we extend the generalized Reid inequality to include
the numerical radii for the product of two Hilbert space operators.
Mathematics Subject Classification: 47A12, 47A30, 47A63
Groups of isometries associated with automorphisms of the half-plane
(Mississippi State University, 2015)
The study of integral operators on spaces of analytic functions has been considered for the past few decades. However, most of the studies in this line are based on spaces of analytic functions of the unit disc. For the ...
Norm estimates for convexoid operators
(JOOUST, 2015-06-24)
Hilbert space operators are important in formulation of principles of quantum mechanics and also in other fields of applied sciences. These operators include normal operators, hyponormal operators, normaloid operators, ...
On Characterization of Scalar Operators via Semigroup and the Associated Generators
(Hikari Ltd, 2016)
In this paper, we characterize the scalar operators by using the semigroup theory and the corresponding generators of (α, α + 1) type R operators. In particular, we show that if a densely defined operator H
generates a ...
On Regular Prime Graphs of Solvable Groups
(Hikari Ltd, 2016)
Let G be a finite solvable group and∆(G) be the prime vertex graph on cd (G). We show that if∆(G) is noncomplete and regular, then G is the direct product of groups with disconnected graphs of 2 vertices.
Mathematical Model for Pneumonia Dynamics with Carriers
(2013)
There are major advances which have been made to understand the epidemiology of infectious diseases. However, more than 2 million children in the developing countries still die from pneumonia each year. The efforts to ...
On Numerical and Centre Values Range
(Int. Journal of Math, 2010)
This paper follows [1] in the quantitative study of Numerical Ranges
introduced by Stampfli [9]. In particular, we consider a family of mutually orthogonal projections and investigate how a numerical range can
be related ...
On necessary Conditions for scalars
(Hikari Ltd, 2014)
In this paper, we give a characterization of scalar operators. In particular we show that a densely defined closed linear operator H acting on a reflexive Banach space X is scalar if it is of (0, 1) type R and f (H)≤ f∞ ...