An operator extension of the parallelogram law and related norm inequalities
نویسندگان
چکیده
منابع مشابه
An Operator Extension of the Parallelogram Law and Related Norm Inequalities
We establish a general operator parallelogram law concerning a characterization of inner product spaces, get an operator extension of Bohr’s inequality and present several norm inequalities. More precisely, let A be a C∗ -algebra, T be a locally compact Hausdorff space equipped with a Radon measure μ and let (At)t∈T be a continuous field of operators in A such that the function t → At is norm c...
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15 صفحه اولParallelogram Norm ∗
Replacing the triangle inequality by ‖x + y‖ ≤ 2(‖x‖ + ‖y‖) in the definition of norm we obtain the notion of parallelogram norm. We establish that every parallelogram norm is a norm in the usual sense. ∗2000 Mathematics Subject Classification. Primary 46B20; secondary 46C05.
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2011
ISSN: 1331-4343
DOI: 10.7153/mia-14-60