Isometries on Banach Spaces: function spaces

Isometries on Banach Spaces: function spaces
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DOI:
10.1201/9781420026153
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发表时间:
2002-12
期刊:
--
影响因子:
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通讯作者:
R. Fleming;J. Jamison
R. Fleming;J. Jamison
中科院分区:
其他
文献类型:
--
作者:
R. Fleming;J. Jamison

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导论C(Q)上等距的Banach刻划Mazur-Ulam定理非线性Wold分解注记连续函数空间--BANACK-STONE定理导论Eilenberg定理非满射情形Vesentini定理L(p)空间导论Lamperti结果L(p)的子空间解析函数空间的等距引论圆盘Bergman空间的哈代空间的等距Bloch空间S(p)空间注记重排不变空间引论Orlicz空间的Lumer方法Zauberberg的推广Musielak-Orlicz空间注记Banach代数引论Kadison定理次可微性和Kadison定理Kadison定理的非满射情形代数C(1)和AC道格拉斯代数注记
BEGINNINGS Introduction Banach's Characterization of Isometries on C(Q) The Mazur-Ulam Theorem Orthogonality The Wold Decomposition Notes and Remarks CONTINUOUS FUNCTION SPACES--THE BANACK-STONE THEOREM Introduction Eilenberg's Theorem The Nonsurjective case A Theorem of Vesentini Notes and Remarks THE L(p) SPACES Introduction Lamperti's Results Subspaces of L(p) and the Extension Theorem Bochner Kernels Notes and Remarks ISOMETRIES OF SPACES OF ANALYTIC FUNCTIONS Introduction Isometries of the Hardy Spaces of the disk Bergman spaces Bloch Spaces S(p) Spaces Notes and Remarks REARRANGEMENT INVARIANT SPACES Introduction Lumer's Method for Orlicz Spaces Zaidenberg's Generalization Musielak-Orlicz Spaces Notes and Remarks BANACH ALGEBRAS Introduction Kadison's Theorem Subdifferentiability and Kadison's Theorem The Nonsurjective Case of Kadison's theorem The Algebras C(1) and AC Douglas Algebras Notes and Remarks BIBLIOGRAPHY INDEX