A subalgebra of Mn(C) is said to be idempotent compressible if EAE an algebra for all idempotents E∈Mn(C). Likewise, projection PAP orthogonal projections P∈Mn(C). In this paper, a case-by-case analysis used classify the unital subalgebras Mn(C), n≥4, up transposition and unitary equivalence. It observed that every shown admit compression property is, in fact, compressible. We therefore extend ...

In contrast to Part I of this treatise [1] that focuses on the optimization problems associated with single matrix variables, in paper, we investigate application matrix-monotonic framework multiple variables. It is revealed still works even for matrix-variate based problems, provided certain conditions are satisfied. Using framework, optimal structures variables can be derived and substantiall...

Mn(II) salen complex immobilized on nano silicagel was prepared by incorporating Mn(II) salen complex into a nanosilica matrix and characterized by TGA, XRD, atomic absorption spectroscopy and was successfully applied as catalyst for the oxidation of alcohols. Oxidation of a series of alcohols in acetonitrile over immobilized Mn(II) salen complex using tetrabutylammonium peroxymonosulfate (TBAO...

Transforming growth factor beta (TGFβ1, β2, and β3) are 25 kDa disulfide-linked homodimers that regulate many aspects of cellular functions, consist of proliferation, differentiation, adhesion and extracellular matrix formation. TGFβs mediate their biological activities by binding of growth factor ligand to two related, functionally distinct, single-pass transmembrane receptor kinases, known as...