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Factorization of Matrices of Quaternions
Factorization Matrices Quaternions Operator Algebras
2011/8/24
Abstract: We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We p...
Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization
Triangular operators nest algebra multiplicity 1 hyperin-transitive operator
2010/12/2
A class of non-factorable positive operators is constructed. As a result,pure existence theorems in the well-known problems by Ringrose,Kadison and Singer are substituted by concrete examples.