Operators characterized by certain Cauchy-Schwarz type inequalities
نویسندگان
چکیده
منابع مشابه
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Some inequalities of Cauchy-Bunyakovsky-Schwarz type for sequences of bounded linear operators in Hilbert spaces and some applications are given.
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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 اولCauchy-schwarz Inequalities Associated with Positive Semideenite Matrices
Using a quasilinear representation for unitarily invariant norms, we prove a basic inequality: Let A = L X X M be positive semideenite, where X 2 M m;n. Then k jX j p k 2 kL p k kM p k for all p > 0 and all unitarily invariant norms k k. We show how several inequalities of Cauchy-Schwarz type follow from this bound and obtain a partial analog of our results for l p norms.
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1994
ISSN: 0034-5318
DOI: 10.2977/prims/1195166132