It is shown that a trace invariant projection map, i.e. a positive unital idempotent map, of a finite dimensional C*-algebra into itself is non-decomposable if and only if it is atomic, or equivalently not the sum of a 2-positive and a 2-copositive map. In particular projections onto ...
properties are studied by means of the associated product projection operators, which are idempotent, mutually exclusive, and form a resolution of the ... PO L?Wdin - 《International Journal of Quantum Chemistry》 被引量: 22发表: 1996年 Environmental Management and Firm Competitiveness: The Joint...
Order the closed nonempty left ideals of the set of all shift operatorsby inclusion downward, and by Zorn's Lemma let 7 be a minimal one. Then 7 isa minimal left ideal by part (b) of Lemma 3.6 and 7 contains an idempotent F bypart (a) of that lemma. Therefore a minimal idempotent...
Projection operators are central to the algebraic formulation of quantum theory because both wavefunction and hermitian operators(observables) have spectra... RU Haq,LH Kauffman - 《Arxiv》 被引量: 5发表: 2017年 Ideals and idempotents in the uniform ultrafilters If S is countable, then U(S)...
A Rao-regular matrix and the Rao idempotent of a matrix over a commutative ring are defined. We prove that a matrix A over a commutative ring is regular i... KM Prasad - 《Linear Algebra & Its Applications》 被引量: 49发表: 1994年 On generalized inverses of matrices The notion of the...
D. Belousov’s book, which was not applicable for example to idempotent quasigroups. Properties of left and right kernels and the corresponding groups of regular permutations are investigated. Also, the notion of a center of a quasigroup (with respect to an element) is introduced and ...