Results 11 to 20 of about 51 (50)

Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation [PDF]

open access: yesBoundary Value Problems, 2011
The purpose of writing this article is to show some spectral properties of the Bessel operator equation, with spectral parameter-dependent boundary condition.
Aslanova Nigar
doaj   +2 more sources

Spectral Analysis of the Incompressible Viscous Rayleigh–Taylor System in R3

open access: yes, 2022
International audienceThe linear instability study of the viscous Rayleigh-Taylor model in the neighborhood of a laminar smooth increasing density profile ρ 0 (x 3) amounts to the study of the following ordinary differential equation of order 4 − λ 2 [ρ ...
Lafitte, Olivier, Nguyễn, Tiến-Tài
core   +1 more source

Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov

open access: yesConcrete Operators, 2020
We present a survey of some recent results concerning joint numerical ranges of n-tuples of Hilbert space operators, accompanied with several new observations and remarks.
Müller V., Tomilov Yu.
doaj   +1 more source

General numerical radius inequalities for matrices of operators

open access: yesOpen Mathematics, 2016
Let Ai ∈ B(H), (i = 1, 2, ..., n), and T=[0⋯0A1⋮⋰A200⋰⋰⋮An0⋯0] $ T = \left[ {\matrix{ 0 & \cdots & 0 & {A_1 } \cr \vdots & {\mathinner{\mkern2mu\raise1pt\hbox{.}\mkern2mu \raise4pt\hbox{.}\mkern2mu\raise7pt\hbox{.}\mkern1mu}} & {A_2 } & 0
Al-Dolat Mohammed   +3 more
doaj   +1 more source

A new view of some operators and their properties in terms of the Non-Newtonian Calculus

open access: yesTopological Algebra and its Applications, 2017
Differentiation and integration are basic operations of calculus and analysis. Indeed, they are in- finitesimal versions of substraction and addition operations on numbers, respectively.
Ünlüyol Erdal   +2 more
doaj   +1 more source

Elliptic operators and their symbols

open access: yesDemonstratio Mathematica, 2019
We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm ...
Vasilyev Vladimir
doaj   +1 more source

On a new generalized inverse for Hilbert space operators

open access: yes, 2021
Using the Moore-Penrose inverse and the core-EP inverse, we define a new generalized inverse (called the MPCEP inverse) for a Hilbert space operator. Several equivalent conditions for a Hilbert space operator to be the MPCEP inverse are presented.
Chen, Jianlong   +2 more
core  

EP Elements in Rings and in Semigroups with Involution and in C*-algebras [PDF]

open access: yes, 2015
This work includes a survey of most of the results concerning EP elements in semigroups and rings with involution and in C*-algebras. 2010 Mathematics Subject Classification: Primary 46L05, 46J05, 46H05, 46H30, 47A05, 47A53, 47A60, 15A09, 15A33, 16A28 ...
Karanasios, Sotirios
core  

Product and factorization of hypo-EP operators

open access: yesSpecial Matrices, 2018
In this article, we derive some necessary and sufficient conditions for the product of hypo-EP operators to be hypo-EP and we characterize hypo-EP operators through factorizations.
Johnson P. Sam, Vinoth A.
doaj   +1 more source

The invertibility of 2x2 operator matrices [PDF]

open access: yes, 2014
In this paper the properties of right invertible row operators, i.e., of 1x2 surjective operator matrices are studied. This investigation is based on a specific space decomposition.
Trunk, Carsten   +3 more
core  

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