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On partial orders of operators
Springer Science and Business Media LLC - Tập 14 - Trang 1-19 - 2022
Characterizations of the star, minus and diamond orders of operators are given in various contexts and the relationship between these orders is made more transparent. Moreover, we introduce a new partial order of operators which provides a unified scenario for studying the other three orders.
Characterizations of $${*}$$ and $${*}$$ -left derivable mappings on some algebras
Springer Science and Business Media LLC - Tập 11 - Trang 680-692 - 2019
A linear mapping
$$\delta $$
from a
$${*}$$
-algebra
$$\mathcal {A}$$
into a
$${*}$$
-
$$\mathcal {A}$$
-bimodule
$$\mathcal {M}$$
is a
$${*}$$
-derivable mapping at
$$G\in \mathcal {A}$$
if
$$A\delta (B)^{*}+\delta (A)B=\delta (G)$$
for each A, B in
$$\mathcal {A}$$
with
$$AB^{*}=G$$
. We prove that every (continuous)
$${*}$$
-derivable mapping at G from a (unital
$$...... hiện toàn bộ
Complementation in the Fremlin vector lattice symmetric tensor products-II
Springer Science and Business Media LLC - - 2020
Bounds for zeros of a polynomial using numerical radius of Hilbert space operators
Springer Science and Business Media LLC - Tập 12 - Trang 1-14 - 2021
We obtain bounds for the numerical radius of
$$2 \times 2$$
operator matrices which improve on the existing bounds. We also show that the inequalities obtained here generalize the existing ones. As an application of the results obtained here, we estimate the bounds for the zeros of a monic polynom...... hiện toàn bộ
Generalization of some commutative perturbation results
Springer Science and Business Media LLC - Tập 14 - Trang 1-17 - 2022
We study the stability of certain spectra under some algebraic conditions weaker than the commutativity and we generalize many known commutative perturbation results. In particular, in a complex unital Banach algebra
$$\mathcal {A},$$
we prove that if
...... hiện toàn bộ
Cyclic uniform Lipschitzian mappings and proximal uniform normal structure
Springer Science and Business Media LLC - Tập 13 - Trang 1-14 - 2021
For
$$x\in A\cup B,$$
define
$$d_n=d\left( T^nx,T^{n-1}x\right) , n\ge 1$$
where A and B are subsets of a metric space and T is a cyclic map on
...... hiện toàn bộ
Anisotropic fractional Sobolev extension and its applications
Springer Science and Business Media LLC - Tập 13 - Trang 1-20 - 2022
In this paper, we show that every function in an anisotropic fractional Sobolev space defined on a regular domain extends to a function defined on the whole
$${\mathbb {R}}^n$$
with the same Sobolev indices. As an application, we get that such functions are Hölder continuous and we give an explici...... hiện toàn bộ
Approximation by certain linking operators
Springer Science and Business Media LLC - Tập 11 - Trang 1184-1202 - 2020
In this paper, we improve the order of approximation of certain operators linking Bernstein and genuine Bernstein–Durrmeyer operators. Firstly, we obtain some direct results in terms of modulus of continuity and Voronovskaja type asymptotic formula for these operators. Finally, we give some numerical examples regarding the obtained theoretical results for new constructed operators.
Some estimates of multi-sublinear operators and commutators on mixed $$\lambda $$-central Morrey spaces
Springer Science and Business Media LLC - Tập 14 Số 2 - 2023
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