منابع مشابه
A generalization of the parallelogram law to higher dimensions
We propose a generalization of the parallelogram identity in any dimension N ≥ 2, establishing the ratio of the quadratic mean of the diagonals to the quadratic mean of the faces of a parallelotope.
متن کاملAn 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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This paper is a reflection on the perception of care nursing professionals have and the meaning given to the term, which is a tool for directing the quality of the assistance. It questions the level of depth that this word may have, identifying its presence in all processes of the Universe and throughout mankind's mythological history. It proposes that caring is the law that makes possible the ...
متن کاملParallelogram 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: Proceedings of the American Mathematical Society
سال: 1980
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1980-0567985-1