engleski

Inequalities for C*-valued norms on a Hilbert C*-module

An A-valued norm is defined on a Hilbert C*-module V over a commutative C*-algebra A in terms of a standard inner product on V. We introduce a 2-inner product on V and define an A-valued 2-norm there. For both C*-valued norms on V a number on inequalities (which are in fact order relations on A) are given.

Hilbert C*-module; C*-valued norm

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