Results 31 to 40 of about 579 (72)
Elliptic operators and their symbols
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
A new view of some operators and their properties in terms of the Non-Newtonian Calculus
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
Orbits of Linear Operators Tending to Infinity
Let T be a bounded linear operator on a (real or complex) Banach space X satisfying ∑∞ n=1 1 ‖T n‖ < ∞. Then there is a unit vector x ∈ X such that ‖Tnx‖ → ∞. If X is a complex Hilbert space then it is sufficient to assume that ∑∞ n=1 1 ‖T n‖ < ∞.
V. Müller, Jan Vrs˘ovský
semanticscholar +1 more source
A distance formula related to a family of projections orthogonal to their symmetries
Let u be a hermitian involution, and e an orthogonal projection, acting on the same Hilbert space. We establish the exact formula, in terms of the norm of eue, for the distance from e to the set of all orthogonal projections q from the algebra generated ...
Spitkovsky, Ilya M.
core +1 more source
One-sided star partial orders for bounded linear operators
We compare some recent approaches to transferring the notions of leftand rightstar partial order, introduced for complex matrices in early 90-ies, to bounded linear Hilbert space operators, and discuss a new version of these orders.
J. Cı̄rulis
semanticscholar +1 more source
Closable Hankel operators and moment problems
In a paper from 2016 D. R. Yafaev considers Hankel operators associated with Hamburger moment sequences q_n and claims that the corresponding Hankel form is closable if and only if the moment sequence tends to 0.
Berg, Christian, Szwarc, Ryszard
core +1 more source
Some spectral properties of fourth order differential operator equation
We consider boundary value problem for fourth order differential equation with unbounded discrete operator coefficient. One of the boundary conditions involves the λ parameter. The asymptotics of spectrum of corresponding selfadjoint operator is obtained.
N. Aslanova+2 more
semanticscholar +1 more source
Product and factorization of hypo-EP operators
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 existence and expressions of the inverse along operators B and C
For given A,B,C ∈B(H ) , if there exists X ∈B(H ) such that XAB = B , CAX =C , R(X) = R(B) and R(X∗) = R(C∗), then A is called (B,C) -invertible and X is called the (B,C) -inverse of A .
Chunyan Deng, Rufang Liu
semanticscholar +1 more source
Distance estimates, norm of Hankel operators and related questions
We consider Berezin symbols and Hankel operators on the Hardy space H2(D) over the unit disc D = {z ∈ C : |z| < 1} and give their some applications. Namely, we estimate in terms of Hankel operators and Berezin symbols the distances from a given operator ...
N. Altwaijry, A. Baazeem, M. Garayev
semanticscholar +1 more source