کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896784 | 1630602 | 2018 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Î-flatness and Bishop-Phelps-Bollobás type theorems for operators
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Î-flatness and Bishop-Phelps-Bollobás type theorems for operators Î-flatness and Bishop-Phelps-Bollobás type theorems for operators](/preview/png/8896784.png)
چکیده انگلیسی
The Bishop-Phelps-Bollobás property deals with simultaneous approximation of an operator T and a vector x at which T nearly attains its norm by an operator T0 and a vector x0, respectively, such that T0 attains its norm at x0. In this note we extend the already known results about the Bishop-Phelps-Bollobás property for Asplund operators to a wider class of Banach spaces and to a wider class of operators. Instead of proving a BPB-type theorem for each space separately we isolate two main notions: Î-flat operators and Banach spaces with ACKÏ structure. In particular, we prove a general BPB-type theorem for Î-flat operators acting to a space with ACKÏ structure and show that uniform algebras and spaces with the property β have ACKÏ structure. We also study the stability of the ACKÏ structure under some natural Banach space theory operations. As a consequence, we discover many new examples of spaces Y such that the Bishop-Phelps-Bollobás property for Asplund operators is valid for all pairs of the form (X,Y).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 274, Issue 3, 1 February 2018, Pages 863-888
Journal: Journal of Functional Analysis - Volume 274, Issue 3, 1 February 2018, Pages 863-888
نویسندگان
Bernardo Cascales, Antonio J. Guirao, Vladimir Kadets, Mariia Soloviova,