Molnar-dependence in a pre-Hilbert module over an H*-algebra (CROSBI ID 97891)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Ilišević, Dijana
engleski
Molnar-dependence in a pre-Hilbert module over an H*-algebra
Molnar-dependence is related to the strong Cauchy-Schwarz inequality in a pre-Hilbert module over an H*-algbera analogously as the linear dependence is related to the Cauchy-Schwarz inequality in a pre-Hilbert space. Necessary and sufficient conditions for two elements of a pre-Hilbert module to be Molnar-dependent are established in this article, what is enabled by proving a stronger inequality than the strong Cauchy-Schwarz one. Furthermore, it is shown that Molnar-dependence is a transitive relation.
H*-algebra ; Hilbert module ; strong Cauchy-Schwarz inequality ; Molnar-dependence
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Podaci o izdanju
101 (1-2)
2003.
69-78
objavljeno
0236-5294
1588-2632
10.1023/B:AMHU.0000003892.02461.7f