An inequality for linear transformations
Copyright policy ) Marvin Marcus;
An inequality for linear transformations
1. Statements of results. In this paper the following elementary inequality is proved and exploited. THEOREM 1. If L is a positive-definite hermitian transformation on the finite dimensional unitary space V and p > 1, then for arbitrary vectors u and v (I) f|Uff2 + (L-PV, V) > ((I + L)-Pu + v, U + v). From (1) we can conclude THEOREM 2. If H and K are positive-definite hermitian transformations on V and x and y are arbitrary vectors, then
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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).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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