Weighted and Unweighted Composition Operators Close to Isometries

被引:0
|
作者
Anand, Jatin [1 ]
Lata, Sneh [2 ]
Srivastava, Sachi [3 ]
机构
[1] Univ Delhi, Dept Math, Delhi 110007, India
[2] SNIoE, Sch Nat Sci, Dept Math, Gautam Budh Nagar 203207, Uttar Pradesh, India
[3] Univ Delhi South Campus, Dept Math, Benito Juarez Rd, New Delhi 110021, India
关键词
Weighted composition operators; close to isometries; isometry; WANDERING SUBSPACES;
D O I
10.1007/s00009-024-02688-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study composition and weighted composition operators that are close to isometries on H2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {H}}<^>2$$\end{document} but not necessarily isometric. We also obtain a Wold type decomposition for such operators.
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页数:14
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