Applications of polar decompositions of idempotent and 2-nilpotent operators
Applications of polar decompositions of idempotent and 2-nilpotent operators
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DOI：
10.1080/03081080701400911
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发表时间：
2008-01
影响因子：
1.1
通讯作者：
T. Furuta
中科院分区：
文献类型：
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作者：
T. Furuta
算子是指复希尔伯特空间上的有界线性算子。利用幂等算子和2-幂零算子的两种极分解，研究了这两种算子的数值半径，最后讨论了两种算子变换，一种是广义的Chesthge变换，另一种是Patel-Tanahashi-Uchiyama算子变换的推广。（注）本作品以尊敬和爱戴之情献给宫正宪教授95岁生日。
An operator means a bounded linear operator on a complex Hilbert space. Using two polar decompositions of idempotent and 2-nilpotent operators, we shall study numerical radii of these two operators and finally we shall discuss two operator transformations, one of which is the generalized Aluthge transformation and another is an extension of the operator transformation by Patel–Tanahashi–Uchiyama. †This work is dedicated to Professor Masanori Fukamiya on his 95th birthday with respect and affection.