On local minimum and orthogonality of normal derivations in Cp-classes

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.

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APA

O.</div>, < (2024). On local minimum and orthogonality of normal derivations in Cp-classes. Afribary. Retrieved from https://afribary.com/works/on-local-minimum-and-orthogonality-of-normal-derivations-in-cp-classes

MLA 8th

O.</div>, <div>Owino "On local minimum and orthogonality of normal derivations in Cp-classes" Afribary. Afribary, 04 Jun. 2024, https://afribary.com/works/on-local-minimum-and-orthogonality-of-normal-derivations-in-cp-classes. Accessed 14 Jul. 2024.

MLA7

O.</div>, <div>Owino . "On local minimum and orthogonality of normal derivations in Cp-classes". Afribary, Afribary, 04 Jun. 2024. Web. 14 Jul. 2024. < https://afribary.com/works/on-local-minimum-and-orthogonality-of-normal-derivations-in-cp-classes >.

Chicago

O.</div>, <div>Owino . "On local minimum and orthogonality of normal derivations in Cp-classes" Afribary (2024). Accessed July 14, 2024. https://afribary.com/works/on-local-minimum-and-orthogonality-of-normal-derivations-in-cp-classes