Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications

Fritz Gesztesy; Mark Malamud; Marius Mitrea; Serguei Naboko

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Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications

机译：Hilbert空间中封闭算子的广义极分解及一些应用

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摘要

We study generalized polar decompositions of densely defined closed linear operators in Hilbert spaces and provide some applications to relatively (form) bounded and relatively (form) compact perturbations of self-adjoint, normal, and m-sectorial operators.

机译：我们研究希尔伯特空间中密集定义的封闭线性算子的广义极分解，并为自伴，法向和m割线算子的相对（形式）有界和相对（形式）紧凑扰动提供一些应用。

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《Integral equations and operator theory》 |2009年第1期|共31页
作者
Fritz Gesztesy; Mark Malamud; Marius Mitrea; Serguei Naboko;
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正文语种 eng
中图分类 510LD005;
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Polar decomposition; relatively bounded and relatively form boun_ded perturbations; relatively compact and relatively form compact perturba_tions;

机译：极分解;相对有界和相对形式的有界摄动;相对紧凑和相对形式的紧致摄动;

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专利

1. 完全不可约算子的谱图形与Hilbert空间算子的分解定理 [J] . 蒋春澜, 王宗尧东北数学：英文版 . 1994,第002期
2. Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications [J] . Fritz Gesztesy, Mark Malamud, Marius Mitrea, Integral equations and operator theory . 2009,第1期

机译：Hilbert空间中封闭算子的广义极分解及一些应用
3. Perturbations and expressions for generalized inverses in Banach spaces and Moore-Penrose inverses in Hilbert spaces of closed linear operators [J] . Huang Q., Zhai W. Linear Algebra and its Applications . 2011,第1期

机译：封闭线性算子的Banach空间中的广义逆和Hilbert空间中的Moore-Penrose逆的扰动和表达式
4. On the polar decomposition of right linear operators in quaternionic Hilbert spaces [J] . Ramesh G., Kumar Santhosh Journal of Mathematical Physics . 2016,第4期

机译：四元数Hilbert空间中右线性算子的极分解。
5. Generalized Frame Multiresolution Analysis of Abstract Hilbert Spaces and its Applications [C] . Manos Papadakis Conference on wavelet applications in signal and lmage processing . 2000

机译：抽象希尔伯特空间的广义框架多分辨率分析及其应用
6. Some contributions to analysis: A new space of generalized functions for integro-differential equations involving Hilbert transforms, and a note on the non-nuclearity of a space of test functions on Hilbert space. [D] . Donnelly, Roderick Kerry. 1988

机译：对分析的一些贡献：涉及Hilbert变换的积分微分方程的广义函数的新空间，以及关于Hilbert空间上测试函数的空间的非核性的注释。
7. New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces [O] . Mohd. Sarfaraz, Kottakkaran Sooppy Nisar, Ahmed Morsy, -1

机译：实有序Hilbert空间中涉及⊕算子的非线性有序变分包含的新广义系统
8. Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications [O] . Gesztesy, Fritz, Malamud, Mark, Mitrea, Marius, 2008

机译：Hilbert空间中闭算子的广义极分解和一些应用程序
9. Convex closed set-valued operators in Banach spaces and their applications in control problems [R] . Vu Ngoc Phat, Jong Yeoul Park 1995

机译：Banach空间中的凸集闭集集值运算符及其在控制问题中的应用

Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications

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