n-NORMAL AND n-QUASINORMAL COMPOSITION AND WEIGHTED COMPOSITION OPERATORS ON L 2 (μ)

A. Gupta; N. Bhatia

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n-NORMAL AND n-QUASINORMAL COMPOSITION AND WEIGHTED COMPOSITION OPERATORS ON L 2 (μ)

机译：L 2（μ）上的n-标准和n-拟标准组成及加权组合算子

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An operator T is called n-normal operator if T n T . = T . T n and n-quasinormal operator if T n T . T = T . T T n . In this paper, the conditions under which composition operators and weighted composition operators become n-normal operators and n-quasinormal operators have been obtained in terms of Radon-Nikodym derivative h n .

机译：如果T n T，则算子T称为n正规算子。 = T。 T n和n拟正规算子，如果T n T。 T =T。 T在本文中，已经获得了根据Radon-Nikodym导数h n构成合成算子和加权合成算子成为n-正规算子和n-拟正规算子的条件。

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《Matematicki Vesnik》 |2014年第4期|共7页
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A. Gupta; N. Bhatia;
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2. Essential Norm of Weighted Composition Operators and Difference of Composition Operators Between Standard Weighted Bergman Spaces [J] . Lindstrom Mikael, Saukko Erno Complex analysis and operator theory . 2015,第6期

机译：加权合成算子的基本范数与标准加权Bergman空间之间的合成算子之差
3. Spectrum of weighted composition operators. Part II: weighted composition operators on subspaces of Banach lattices [J] . A. K. Kitover Positivity . 2013,第3期

机译：加权合成算子的范围。第二部分：Banach格子空间上的加权合成算子
4. A Model for Composable Composition Operators Expressing object and aspect compositions with first-class operators [C] . Wilke Havinga, Lodewijk Bergmans, Mehmet Aksit 9th international conference on aspect-oriented software development 2010 . 2010

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5. Weighted Composition Operators from Analytic Function Spaces into a Class of Weighted-type Banach Spaces [D] . Alyusof, Shams. 2020

机译：来自分析功能空间的加权组成算子进入一类加权型Banach空间
6. Compact differences of weighted composition operators on the weighted Bergman spaces [O] . Maocai Wang, Xingxing Yao, Fen Chen -1

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7. Spectrum of Weighted Composition Operators Part IV: Spectrum and essential spectra of weighted composition operators in spaces of smooth functions on $[0,1]$ [O] . Kitover, Arkady 2016

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8. Conservative and Dissipative Parts of Non-Measure Preserving Weighted Composition Operators. [R] . Quinn, J. 1982

机译：非度量保持加权复合算子的守恒和耗散部分。

n-NORMAL AND n-QUASINORMAL COMPOSITION AND WEIGHTED COMPOSITION OPERATORS ON L 2 (μ)

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