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- W2359431481 abstract "Aim To research the necessary and sufficient conditions for ‖x+y‖=‖x‖+‖y‖ and Pythagoras' equality in a pre-Hilbert C*-module.Methods Operator theoretic method is used.Results ‖x+y‖=‖x‖+‖y‖proves tenable if and only if there exists a state of the C*-algebra A such that (〈‖y‖x-‖x‖y,‖y‖x-‖x‖y〉)=0 and either (〈x,x〉)=‖x‖2,or (〈y,y〉)=‖y‖2.The necessary and sufficient conditions for Pythagoras' equality in a pre-Hilbert C*-module.Conclusion The result is very useful for researching norm equalities in pre-Hilbert C*-modules." @default.
- W2359431481 created "2016-06-24" @default.
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- W2359431481 date "2009-01-01" @default.
- W2359431481 modified "2023-09-27" @default.
- W2359431481 title "Norm equalities in pre-Hilbert C~*-modules" @default.
- W2359431481 hasPublicationYear "2009" @default.
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