Schulz-Baldes H (2010)
Publication Type: Journal article, Original article
Publication year: 2010
Publisher: Springer Verlag (Germany)
Book Volume: 110
Pages Range: 129-165
URI: http://de.arxiv.org/abs/0804.3746
DOI: 10.1007/s11854-010-0004-5
A Jacobi matrix with matrix entries is a self-adjoint block tridiagonal matrix with invertible blocks on the off-diagonals. The Weyl surface describing the dependence of Green's matrix on the boundary conditions is interpreted as the set of maximally isotropic subspaces of a quadratic form given by the Wronskian. Analysis of the possibly degenerate limit quadratic form leads to the limit point/limit surface theory of maximal symmetric extensions for semi-infinite Jacobi matrices with matrix entries with arbitrary deficiency indices. The resolvent of the extensions is calculated explicitly. © 2010 Hebrew University Magnes Press.
APA:
Schulz-Baldes, H. (2010). Geometry of Weyl theory for Jacobi matrices with matrix entries. Journal D Analyse Mathematique, 110, 129-165. https://doi.org/10.1007/s11854-010-0004-5
MLA:
Schulz-Baldes, Hermann. "Geometry of Weyl theory for Jacobi matrices with matrix entries." Journal D Analyse Mathematique 110 (2010): 129-165.
BibTeX: Download