کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777928 | 1633053 | 2017 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Real-linear surjective isometries between function spaces
ترجمه فارسی عنوان
ایزومترهای واقعی خطی بین فضاهای تابع
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
We study surjective isometries between subspaces of continuous functions containing all constant functions and separating the points of the underlying spaces. In many contexts, every such isometry is represented by a combination of a weighted composition operator and its complex conjugate, called the canonical form, while there exists an isometry which does not take such a form ([14]). We seek a topological condition on compact Hausdorff spaces such that every surjective isometry on function spaces over the spaces has the canonical form. Also we extend the construction of [14] to show that, if a compact metrizable space X admits a semi-free action of the circle group with a global section, then there exists an isometry of a function space on X which does not take the canonical form.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 226, 1 August 2017, Pages 66-85
Journal: Topology and its Applications - Volume 226, 1 August 2017, Pages 66-85
نویسندگان
Kazuhiro Kawamura, Takeshi Miura,