A locally compact group G has the factorization property if map C ⁎ ( ) ⊙ ∋ a ⊗ b ↦ λ ρ ∈ B L 2 is continuous with respect to minimal C*-norm. This paper seeks initiate rigorous study of this in case groups which, contrast discrete case, been relatively untouched. partial solution question when passes embeddings given – that traces back Kirchberg's seminal work on topic and known be false gener...

By a result of McKenzie [4] finite directed graphs that satisfy certain connectivity and thinness conditions have the unique prime factorization property with respect to the cardinal product. We show that this property still holds under weaker connectivity and stronger thinness conditions. Furthermore, for such graphs the factorization can be determined in polynomial time.

The textit{QIF}  (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ}  factorization. The  WZ factorization can be faster than the textit{LU} factorization  because,  it performs the simultaneous evaluation of two columns or two rows. Here, we present a  method for computing the real and integer textit{WZ} and  textit{ZW} factoriz...