Infinite analogues of block toeplitz matrices and related orthogonal functions |
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| Authors: | Robert L Ellis Israel Gohberg David C Lay |
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| Institution: | (1) Department of Mathematics, University of Maryland, 20742 College Park, Maryland;(2) School of Mathematical Sciences Raymond and beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Ramat Aviv, Israel |
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| Abstract: | This paper concerns a class of infinite block matrices that are analogous to finite block Toeplitz matrices. Also studied are corresponding matrix-valued functions that are orthogonal for a matrixvalued inner product. An appendix presents basic results on orthogonalization in a Hilbert module. |
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| Keywords: | Primary 47B35 Secondary 15A09 15A18 16D99 |
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