A factorization of extremal extensions with applications to block operator matrices

作者：Foerster K H; Nafalska M M

来源：Acta Mathematica Hungarica, 2010, 129(1-2): 112-141.

DOI：10.1007/s10474-010-9248-x

• Friedrichs extension
• Krein-von Neumann extension
• extremal extension
• factorization
• block operator matrix

For a nonnegative operator KC in a Hilbert space H we give a description of all extremal extensions by means of the factors K and C. In particular, we discuss the Friedrichs and the KreAn-von Neumann extension of KC. Applications to systems of differential operators where these extensions are characterized via boundary conditions are presented as well.

• 出版日期2010-10