Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra

Author:

Gohberg Israel,Heinig Georg

Publisher

Birkhäuser Basel

Reference6 articles.

1. I.C. Gohberg and A.A. Semencul, The inversion of finite Toeplitz matrices and their continual analogues. Matem. Issled. 7 (1972), no. 2(24), 201–223 (in Russian). MR0353038 (50 #5524), Zbl 0288.15004.

2. I.C. Gohberg and N.Ya. Krupnik, A formula for the inversion of finite Toeplitz matrices. Matem. Issled. 7 (1972), no. 2(24), 272–283 (in Russian). MR0353039 (50 #5525), Zbl 0288.15005.

3. L.M. Kutikov, The structure of matrices which are the inverse of the correlation matrices of random vector processes. Zh. Vychisl. Matem. Matem. Fiz. 7 (1967), 764–773 (in Russian). English translation: U.S.S.R. Comput. Math. Math. Phys. 7 (1967), no. 4, 58–71. MR0217863 (36 #952), Zbl 0251.15023.

4. I.I. Hirschman, Jr., Matrix-valued Toeplitz operators. Duke Math. J. 34 (1967), 403–415. MR0220002 (36 #3071), Zbl 0182.46203.

5. M.A. Naimark, Normed Rings, (in Russian). 1st Russian edition: Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1956. MR0090786 (19,870d), Zbl 0073.08902. English translation of 1st Russian edition: P. Noordhoff N.V., Groningen, 1959. MR0110956 (22 #1824), Zbl 0089.10102. German translation of 1st Russian edition: Normierte Algebren. VEB Deutscher Verlag der Wissenschaften, Berlin, 1959. Zbl 0089.10101. English translation of 1st Russian edition, revised: P. Noordhoff N.V., Groningen, 1964. MR0205093 (34 #4928), Zbl 0137.31703. Reprinted byWolters-Noordhoff Publishing, Groningen, 1970. MR0355601 (50 #8075), Zbl 0218.46042. 2nd Russian edition, revised: Nauka, Moscow, 1968. MR0355602 (50 #8076). English translation of 2nd Russian edition: Normed Algebras. Wolters-Noordhoff Publishing, Groningen, 1972. MR0438123 (55 #11042). German translation of 2nd Russian edition: Normierte Algebren. VEB Deutscher Verlag der Wissenschaften, Berlin, 1990. MR1034247 (90m:46004a), MR1038909 (90m:46004b), 0717.46039.

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