Norm Ratios Under a Weak Order Relation in Mm⊗Mn${\mathbb {M}}_{m}\otimes {\mathbb {M}}_{n}$
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DOI: 10.1007/s40306-018-0260-5
Abstract: In the real Hilbert space of self-adjoint elements of the tensor product Mm⊗Mn${\mathbb {M}}_{m}\otimes {\mathbb {M}}_{n}$, there are two natural cones besides the cone P0${\mathfrak {P}}_{0}$ of positive semi-definite elements. The one is and the… read more here.
Keywords: weak order; order relation; mathbb otimes; mathfrak ... See more keywords
Averaging Operators and Continuous Projections on f-Algebras
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DOI: 10.1007/s40840-018-0641-x
Abstract: Let A be an Archimedean f-algebra, let $$x\in A$$x∈A, and let $$\pi _{x}:A\rightarrow A$$πx:A→A be the linear map defined by $$\pi _{x}\left( y\right) =xy,$$πxy=xy, for all $$y\in A.$$y∈A. The aim of our paper is to… read more here.
Keywords: left right; operators continuous; weak order; projections algebras ... See more keywords