On the C*-valued triangle equality and inequality in Hilbert C*-modules
Copyright policy ) Rajna Rajić; Ljiljana Arambašić;
On the C*-valued triangle equality and inequality in Hilbert C*-modules
We prove that for two elements x, y in a Hilbert A-module V the triangle equality |x+y|=|x|+|y| holds if and only if the inner product of x and y is equal to |x||y|. In addition, we establish some kind of a C*-valued triangle inequality in a Hilbert C*-module over a unital C*-algebra.
- University of Zagreb Croatia
Hilbert C*-module, linking algebra, C*-algebra ; Hilbert C*-module ; linking algebra ; C*-valued triangle (in)equality, C*-valued triangle (in)equality, C*-algebra
Hilbert C*-module, linking algebra, C*-algebra ; Hilbert C*-module ; linking algebra ; C*-valued triangle (in)equality, C*-valued triangle (in)equality, C*-algebra
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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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