کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599686 | 1631146 | 2014 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator](/preview/png/4599686.png)
چکیده انگلیسی
Let NN be a nest on a complex Banach space X and let AlgN be the associated nest algebra. We say that an operator Z∈AlgN is an all-derivable point of AlgN if every linear map δ from AlgN into itself derivable at Z (i.e. δ satisfies δ(A)B+Aδ(B)=δ(Z)δ(A)B+Aδ(B)=δ(Z) for any A,B∈AlgN with AB=ZAB=Z) is a derivation. In this paper, it is shown that every injective operator and every operator with dense range in AlgN are all-derivable points of AlgN without any additional assumption on the nest.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 449, 15 May 2014, Pages 312–333
Journal: Linear Algebra and its Applications - Volume 449, 15 May 2014, Pages 312–333
نویسندگان
Yanfang Zhang, Jinchuan Hou, Xiaofei Qi,