Search
Search Results
-
Bounded Linear Operators
We consider the notions of linear, continuous and bounded operator. For linear bounded operator the norm is introduced. The problems are devoted to...
-
A generalization of Banach’s lemma and its applications to perturbations of bounded linear operators
Let X be a Banach space and let P : X → X be a bounded linear operator. Using an algebraic inequality on the spectrum of P , we give a new sufficient...
-
Some study of the approximate Birkhoff orthogonality and orthogonality of bounded linear operators
In this note, we are mainly interested in orthogonality, including Birkhoff orthogonality, isosceles orthogonality, Pythagorean orthogonality and...
-
Bounded Linear Maps
In this chapter, the exploration of advanced linear algebra and functional analysis concepts unfolds, beginning with the notion of bounded linear...
-
Some results of essential spectra of sum of two bounded linear operators in non-Archimedean Banach space
In this paper, we extend some aspects of the essential spectra theory of linear operators acting in non-Archimedean (or p-adic) Banach spaces. In...
-
Perturbations of real parts of eigenvalues of bounded linear operators in a Hilbert space
Let A be a bounded linear operator in a complex separable Hilbert space ℌ, and S be a selfadjoint operator in ℌ. Assuming that A − S belongs to the...
-
Spectral Properties of Strongly Bounded Operators
We show that strongly bounded operators in locally convex spaces and topological vector spaces under some additional conditions have the spectral...
-
The Krein transform and semi-bounded extensions of semi-bounded linear relations
The Krein transform is the real counterpart of the Cayley transform and gives a one-to-one correspondence between the positive relations and...
-
Operators with the Lipschitz bounded approximation property
We show that if a bounded linear operator can be approximated by a net (or sequence) of uniformly bounded finite rank Lipschitz map**s pointwisely,...
-
Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators
For a pair of bounded linear Hilbert space operators A and B one considers the Lebesgue type decompositions of B with respect to A into an almost...
-
Spatial Numerical range of bounded operators on right quaternionic Banach spaces
In this paper, we establish and study some properties of the spatial numerical range of right linear bounded operators on a right quaternionic Banach...
-
Pareto vectors of continuous linear operators
The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology...
-
Left and right generalized Drazin–Riesz invertible multivalued linear operators
In this paper the notions of left and right generalized Drazin–Riesz invertible linear relations are introduced and studied. For these classes of...
-
Generalized numerical radius of a bounded linear operator
In this paper, we considered the generalized numerical radius of a bounded linear operator defined from a Hilbert space H into itself and derived...
-
Euclidean Operator Radius Inequalities of a Pair of Bounded Linear Operators and Their Applications
We obtain several sharp lower and upper bounds for the Euclidean operator radius of a pair of bounded linear operators defined on a complex Hilbert...
-
Quantitative Characterizations of Bounded Compact Approximation Property by Semi-Fredholm Operators
Based on a characterization of upper semi-Fredholm operators due to A. Lebow and M. Schechter, we introduce and investigate a new quantity...
-
On the convergence of sequences of positive linear operators towards composition operators
The main aim of the paper is to investigate some sufficient conditions which guarantee the convergence of sequences of positive linear operators...