Linear preservers on ℬ(X)
نویسندگان
چکیده
منابع مشابه
On multiplicative (strong) linear preservers of majorizations
In this paper, we study some kinds of majorizations on $textbf{M}_{n}$ and their linear or strong linear preservers. Also, we find the structure of linear or strong linear preservers which are multiplicative, i.e. linear or strong linear preservers like $Phi $ with the property $Phi (AB)=Phi (A)Phi (B)$ for every $A,Bin textbf{M}_{n}$.
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متن کاملSGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS
A matrix R is said to be g-row substochastic if Re ≤ e. For X, Y ∈ Mn,m, it is said that X is sglt-majorized by Y , X ≺sglt Y , if there exists an n-by-n lower triangular g-row substochastic matrix R such that X = RY . This paper characterizes all (strong) linear preservers and strong linear preservers of ≺sglt on Rn and Mn,m, respectively.
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1997
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-38-1-49-58