Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0852.46050
Kye, Seung-Hyeok
Facial structures for the positive linear maps between matrix algebras. (English)
[J] Can. Math. Bull. 39, No.1, 74-82 (1996). ISSN 0008-4395; ISSN 1496-4287/e

Summary: Let $\cal P$ denote the convex set of all positive linear maps from the matrix algebra $M_n(\bbfC)$ into itself. We construct a join homomorphism from the complete lattice ${\cal F}({\cal P})$ of all faces of $\cal P$ into the complete lattice ${\cal J}({\cal V})$ of all join homomorphisms between the lattice $\cal V$ of all subspaces of $\bbfC^n$. We also characterize all maximal faces of $\cal P$.

MSC 2000:: *46L05 General theory of C*-algebras
06B99 Lattices

Keywords: positive linear maps; matrix algebra; complete lattice; maximal faces

Cited in: Zbl 0960.46036

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]