Block Toeplitz operators with rational symbols and discrete singular systems
dc.contributor.advisor | Groenewald, G. J. | |
dc.contributor.author | Konegerie, Abraham | |
dc.date.accessioned | 2023-06-12T07:31:25Z | |
dc.date.available | 2023-06-12T07:31:25Z | |
dc.date.issued | 2001 | |
dc.identifier.uri | http://hdl.handle.net/11394/10120 | |
dc.description | >Magister Scientiae - MSc | en_US |
dc.description.abstract | This thesis concerns block Toeplitz operators (equations). Consider the block Toeplitz operator T = [<I> k-j ]k,j=O' where the <I>k are complex m x m matrices such that 00 (0.1) v=-oo The norm in (0.1) is the usual operator norm on an m x m matrix. The condition (0.1) means that the symbol 00 ( 0.2) v=-oo belongs t.o the Wiener class w mxm of all absolutely convergent sequences of complex m x m matrices. Let 1 ~ p ~ oo be fixed. The block Toeplitz operator T induces a bounded linear operator (also denoted by T) on l'';, namely, 00 (0.3) Yk = (Tx )k = L <I>k-vXv , k = 0, 1, 2, ... ' v=O where x = (xo, x 1,X2, ... ) Et;. | en_US |
dc.language.iso | en | en_US |
dc.publisher | University of the Western Cape | en_US |
dc.subject | Applied Mathematics | en_US |
dc.subject | Block Toeplitz operators | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Equation | en_US |
dc.title | Block Toeplitz operators with rational symbols and discrete singular systems | en_US |
dc.rights.holder | University of the Western Cape | en_US |