scholarly journals Linear preservers of weak majorization on ℓ(I)+, when p∈ (1,∞)

2016 ◽  
Vol 497 ◽  
pp. 181-198 ◽  
Author(s):  
Martin Ljubenović ◽  
Dragan S. Djordjević
Keyword(s):  
Linear Preservers ◽  
Weak Majorization

Bounded linear operators that preserve the weak supermajorization on $\ell^1(I)^+$

2018 ◽  
Vol 34 ◽  
pp. 407-427 ◽  
Author(s):  
Martin Ljubenović ◽  
Dragan Djordjevic
Keyword(s):  
Linear Operator ◽  
Additional Condition ◽  
Sufficient Conditions ◽  
Linear Operators ◽  
Linear Preserver ◽  
Bounded Linear ◽  
Linear Preservers ◽  
Weak Majorization ◽  
Necessary And Sufficient ◽  
Positive Functions

Linear preservers of weak supermajorization which is defined on positive functions contained in the discrete Lebesgue space $\ell^1(I)$ are characterized. Two different classes of operators that preserve the weak supermajorization are formed. It is shown that every linear preserver may be decomposed as sum of two operators from the above classes, and conversely, the sum of two operators which satisfy an additional condition is a linear preserver. Necessary and sufficient conditions under which a bounded linear operator is a linear preserver of the weak supermajorization are given. It is concluded that positive linear preservers of the weak supermajorization coincide with preservers of weak majorization and standard majorization on $\ell^1(I)$.

DSS-weak majorization and its linear preservers on spaces

2017 ◽  
Vol 66 (10) ◽  
pp. 2076-2088 ◽  
Author(s):  
A. Bayati Eshkaftaki ◽  
M. Heydari Berenjegani ◽  
F. Bahrami
Keyword(s):  
Linear Preservers ◽  
Weak Majorization

scholarly journals Linear preservers on triangular matrices

1998 ◽  
Vol 269 (1-3) ◽  
pp. 241-255 ◽  
Author(s):  
W.L. Chooi ◽  
M.H. Lim
Keyword(s):  
Triangular Matrices ◽  
Linear Preservers

scholarly journals Linear preservers on matrices

1987 ◽  
Vol 93 ◽  
pp. 67-80 ◽  
Author(s):  
Gin-Hor Chan ◽  
Ming-Huat Lim ◽  
Kok-Keong Tan
Keyword(s):  
Linear Preservers

scholarly journals Linear preservers of minimal rank

2000 ◽  
Vol 310 (1-3) ◽  
pp. 73-82 ◽  
Author(s):  
Leiba Rodman ◽  
Peter Šemrl
Keyword(s):  
Minimal Rank ◽  
Linear Preservers
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