Invitation to linear operators : from matrices to bounded linear operators on a Hilbert space
Invitation to linear operators : from matrices to bounded linear operators on a Hilbert space
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发表时间：
2001
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通讯作者：
古田 孝之
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作者：
古田 孝之
Hilbert空间内积空间与Hilbert空间Hilbert空间的Jordan Neuman定理Hilbert空间的正交分解Gram-Schmidt正交正规化方法及其应用有界线性算子的基本性质Hilbert空间上的有界线性算子的偏等距算子与算子的极分解及其应用算子的极分解算子的谱算子的数值域几类非线性算子之间的关系有界线性算子的进一步发展Young不等式和Holder-McCarthy不等式Lowner-Heinz不等式和Furuta不等式混沌序和相对算子P-亚正规算子和对数-亚正规算子的熵变和变换一类包含洛-的超正规算子亚正规算子及几类相关算子与Kantorovich不等式和Holder-McCarthy不等式相关的算子不等式关于部分等距的一些性质拟正规性与反常性加权混合施瓦茨不等式与广义施瓦茨不等式Selberg不等式Heinz-Kato不等式的推广与下海因茨不等式等价的范数不等式与海因茨不等式等价的文献索引
HILBERT SPACES Inner Product Spaces and Hilbert Spaces Jordan-Neuman Theorem Orthogonal Decomposition of Hilbert Space Gram-Schmidt Orthonormal Procedure and its Applications FUNDAMENTAL PROPERTIES OF BOUNDED LINEAR OPERATIONS Bounded Linear Operations on Hilbert Space Partial Isometry Operator and Polar Decomposition of an Operator Polar Decomposition of an Operator and its Applications Spectrum of an Operator Numerical Range of an Operator Relations Among Several Classes of Non-normal Operators Characterizations of Convexoid Operators and Related Examples FURTHER DEVELOPMENT OF BOUNDED LINEAR OPERATORS Young Inequality and Holder-McCarthy Inequality Lowner-Heinz Inequality and Furuta Inequality Chaotic Order and the Relative Operator Entropy Aluthge Transformation on P-Hyponormal Operators and Log-Hyponormal Operators A Subclass of Paranormal Operators Including Loh-Hyponormal Operators and Several Related Classes Operator Inequalities Associated With Kantorovich Inequality and Holder-McCarthy Inequality Some Properties on Partial Isometry, Quasinormality and Paranormality Weighted Mixed Schwarz Inequality and Generalized Schwarz Inequality Selberg Inequality An Extension of Heinz-Kato Inequality Norm Inequalities Equivalent to Lower-Heinz Inequality Norm Inequalities Equivalent to Heinz Inequality Bibliography Index