Abstract/Overview
The present paper gives some results on local minimum and orthogonality of normal derivations in Cp-Classes. We employ some techniques for normal derivations due to Mecheri, Hacene, Bounkhel and Anderson. Let CpCp be normal, then the linear map = attains a local minimum at x Cp if and only if z Cp such that ) Also let Cp, and let have the polar decomposition, then the map attains local minimum on Cp at T if and only if. Regarding orthogonality, let SCp and let N(S) have the polar decomposition N(S)=U|N(S)|, thenfor XCp if . Moreover, the map has a local minimum at x if and only if for y.
O., O (2024). On local minimum and orthogonality of normal derivations in Cp-classes. Afribary. Retrieved from https://track.afribary.com/works/on-local-minimum-and-orthogonality-of-normal-derivations-in-cp-classes
O., Owino "On local minimum and orthogonality of normal derivations in Cp-classes" Afribary. Afribary, 04 Jun. 2024, https://track.afribary.com/works/on-local-minimum-and-orthogonality-of-normal-derivations-in-cp-classes. Accessed 24 Dec. 2024.
O., Owino . "On local minimum and orthogonality of normal derivations in Cp-classes". Afribary, Afribary, 04 Jun. 2024. Web. 24 Dec. 2024. < https://track.afribary.com/works/on-local-minimum-and-orthogonality-of-normal-derivations-in-cp-classes >.
O., Owino . "On local minimum and orthogonality of normal derivations in Cp-classes" Afribary (2024). Accessed December 24, 2024. https://track.afribary.com/works/on-local-minimum-and-orthogonality-of-normal-derivations-in-cp-classes