Titlebook: Recent Developments in Operator Theory and Its Applications; International Confer I. Gohberg,P. Lancaster,P. N. Shivakumar Conference proce

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Operator Theory: Advances and Applicationshttp://image.papertrans.cn/r/image/823207.jpg

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Polar Decompositions in Finite Dimensional Indefinite Scalar Product Spaces: Special Cases and Applstudied in the following special cases: (1) . is an .-contraction, (2) . is an .-plus matrix, (3) . has only one positive eigenvalue, and (4) . belongs to the connected component of the identity in the group of .-unitary matrices. Applications to linear optics are presented.

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Bounds for the Width of the Instability Intervals in the Mathieu Equation,on. using techniques of infinite matrices. The results are in agreement with the asymptotic approximations given by Avran and Simon [3] and with those of Hochstadt [5] who used continued fraction techniques.

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Conference proceedings 1996itoba) K. Glover (Cambridge) I. Gohberg (Tel Aviv) T. Kailath (Stanford) P. Lancaster (Calgary), Chair H. Langer (Vienna) P. N. Shivakumar (Manitoba) A. A. Shkalikov (Moscow) B. Simon (Cal. Tech. ) H. Widom (Santa Cruz) Both events focused on the following main topics: Infinite matrices and projecti

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