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Canadian Mathematical Bulletin
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A Norm Inequality for Linear Transformations

A norm inequality for linear transformations
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1961 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 4, pages 239-242 (issn: 0008-4395, eissn: 1496-4287, Copyright policy )
Authors: Moyls, B. N.; Khan, N. A.;

doi: 10.4153/cmb-1961-026-9

A Norm Inequality for Linear Transformations

Abstract

In 1949 Ky Fan [1] proved the following result: Let λ1…λn be the eigenvalues of an Hermitian operator H on an n-dimensional vector space Vn. If x1, …, xq is an orthonormal set in V1, and q is a positive integer such n that 1 ≤ q ≤ n, then1

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Keywords

linear algebra, polynomials, forms, theory of invariants

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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