A Wold-type decomposition for commuting isometric pairs
نویسندگان
چکیده
منابع مشابه
Texture coding using a Wold decomposition model
A novel approach for coding textured images is presented. The texture field is assumed to be a realization of a regular homogeneous random field, which can have a mixed spectral distribution. On the basis of a two-dimensional (2-D) Wold-like decomposition, the field is represented as a sum of a purely indeterministic, harmonic, and countable number of evanescent fields. We present an algorithm ...
متن کاملA Spectral D Wold Decomposition Algorithm for Homogeneous Random Fields
The theory of the D Wold decomposition of homogeneous random elds is e ective in im age and video analysis synthesis and model ing However a robust and computationally ef cient decomposition algorithm is needed for use of the theory in practical applications This pa per presents a spectral D Wold decomposition algorithm for homogeneous and near homoge neous random elds The algorithm relies on t...
متن کاملa cauchy-schwarz type inequality for fuzzy integrals
نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولWold Decomposition for Representations of Product Systems of C-correspondences
Higher-rank versions of Wold decomposition are shown to hold for doubly commuting isometric representations of product systems of C∗correspondences over N 0 , generalising the classical result for a doubly commuting pair of isometries due to M. S lociński. Certain decompositions are also obtained for the general, not necessarily doubly commuting, case and several corollaries and examples are pr...
متن کاملA Nagy-Foias model for commuting pairs of contractions
The starting point for the Nagy-Foias model for a contractive operator T on Hilbert space is Sz.-Nagy’s observation that T has a canonical minimal unitary dilation to a larger Hilbert space. For a pair T = (T1, T2) of commuting contractions, Ando’s theorem asserts that there exist commuting unitary dilations of T to larger Hilbert spaces, and one might aspire to extend the Nagy-Foias model to s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-04-07331-9