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Spectral Dilation of L(B,H)-Valued Measures and Its Application to Stationary Dilation for Banach Space Valued Processes

机译：L（B，H） - 值测度的谱扩张及其在Banach空间值过程平稳膨胀中的应用

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Let B be a Banach space and H and K two Hilbert spaces. The spectral dilation of L(B,H)-valued measures is studied and it is shown that the recent results of Makagon and Salehi (1986) and Rosenberg (1982) on the dilation of L(K,H)-valued measures can be extended to hold for the general Banach space setting of L(B,H)-valued measures. These L(B,H)-valued measures are closely connected to the Banach space valued processes. This connection is recalled and as application of spectral dilation of L(B,H)-valued measures the well known stationary dilation results for scalar valued processes is extended to the case of Banach space valued processes.

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作者
Miamee, A. G.;
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年度 1988
页码 p.1-27
总页数 27
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Spectral methods; Banach space; Stretching; Hilbert space; Metric space; Operators (Mathematics);

机译：谱方法; Banach空间;拉伸;希尔伯特空间;度量空间;算子（数学）;

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2. Generalized covariation and extended Fukushima decomposition for banach space-valued processes: Applications to windows of dirichlet processes [J] . Di Girolami C., Russo F. Infinite dimensional analysis, quantum probability, and related topics . 2012,第2期

机译：Banach空间值过程的广义协变和扩展的Fukushima分解：应用于Dirichlet过程的窗口
3. A sufficient condition for the Wold-Cramér concordanceof Banach-space-valued stationary processes [J] . Hajduk-Chmielewska, Grazyna Annales Academiae Scientiarum Fennicae. Mathematica . 1989,第1期

机译：Banach空间值平稳过程的Wold-Cramér一致性的充分条件
4. Ito's Formula for Banach-space-valued Jump Processes Driven by Poisson Random Measures [C] . Vidyadhar Mandrekar, Barbara Rüdiger, Stefan Tappe Seminar on Stochastic Analysis, Random Fields, and Applications . 2013

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5. Banach-valued sequence spaces and tensor products. [D] . Bu, Qingying. 2002

机译：Banach值序列空间和张量积。
6. A generalization of Fatou’s lemma for extended real-valued functions on σ-finite measure spaces: with an application to infinite-horizon optimization in discrete time [O] . Takashi Kamihigashi -1

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7. Dilations of Banach space operator valued functions [O] . W. Mlak, A. Weron 1980

机译：Banach空间操作员有价值的函数的膨胀
8. Spectral dilation of L(B,H)-valued measures and its application to stationary dilation for Banach space valued processes [R] . Miamee, A. G. 1988

机译：L（B，H）值的光谱扩张及其在Banach空间有限过程中对平稳膨胀的应用

Spectral Dilation of L(B,H)-Valued Measures and Its Application to Stationary Dilation for Banach Space Valued Processes

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