Submajorization on determined by increasable doubly substochastic operators and its linear preservers
MZ Ljubenović, DS Rakić - Banach Journal of Mathematical Analysis, 2021 - Springer
We note that the well-known result of von Neumann (Contrib Theory Games 2: 5–12, 1953)
is not valid for all doubly substochastic operators on discrete Lebesgue spaces ℓ^ p (I) ℓ p …
is not valid for all doubly substochastic operators on discrete Lebesgue spaces ℓ^ p (I) ℓ p …
Linear preservers of DSS-weak majorization on discrete Lebesgue space , when I is an infinite set
MZ Ljubenović, DS Rakić… - Linear and multilinear …, 2021 - Taylor & Francis
ABSTRACT A positive answer on a question posed in Eshkaftaki et al.[DSS-weak
majorization and its linear preservers on ℓ p spaces. Linear Multilinear Algebra. 2018; 66 …
majorization and its linear preservers on ℓ p spaces. Linear Multilinear Algebra. 2018; 66 …
Row-summable matrices with application to generalization of Schröder's and Abel's functional equations
AB Eshkaftaki - Aequationes mathematicae, 2022 - Springer
In this paper, the author discusses a generalization of Schröder's and Abel's functional
equation of the form∑ n α n (x) f (un (x))= g (x). In fact, using the theory of operators and …
equation of the form∑ n α n (x) f (un (x))= g (x). In fact, using the theory of operators and …
Bounded linear operators that preserve the weak supermajorization on
M Ljubenović, D Djordjevic - The Electronic Journal of Linear …, 2018 - journals.uwyo.edu
Linear preservers of weak supermajorization which is defined on positive functions
contained in the discrete Lebesgue space $\ell^ 1 (I) $ are characterized. Two different …
contained in the discrete Lebesgue space $\ell^ 1 (I) $ are characterized. Two different …
[PDF][PDF] A SURVEY OF WEAK MAJORIZATION RELATIONS ON ℓ1 (I) AND THEIR LINEAR PRESERVERS
MZ Ljubenovic, DS Djordjevic - elib.mi.sanu.ac.rs
A survey about the most important properties of extended three weak majorization
relations≺ w,≺ s and≺ ws determined by stochastic operators on the discrete Lebesgue …
relations≺ w,≺ s and≺ ws determined by stochastic operators on the discrete Lebesgue …