By Harry Dym (auth.), Daniel Alpay, Victor Vinnikov, Israel Gohberg (eds.)

ISBN-10: 3034882157

ISBN-13: 9783034882156

ISBN-10: 3034894775

ISBN-13: 9783034894777

This quantity is devoted to Harry Dym, a number one professional in operator concept, at the celebration of his 60th birthday. The ebook opens with an autobiographical comic strip, an inventory of courses and a private account of I. Gohberg on his collaboration with Harry Dym. The mathematical papers hide Krein house operator idea, Schur research and interpolation, a number of complicated variables and Riemann surfaces, matrix concept, approach idea, and differential equations and mathematical physics. The publication is of curiosity to a large viewers of natural and utilized mathematicians, electric engineers and theoretical physicists.

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71. 72. 73. 74. 75. 75. 76. 77. 78. 79. 23 Lectures (U. Helmke, R. Mennicken and J. ), Akadamie Verlag GmbH, Berlin, 1994, pp. 85-99. T. C. Smith): Explicit formulas for optimally robust controllers for delay systems, IEEE Trans. Aut. Control, 40 (1995),656-669. (with 1. Gohberg): On maximum entropy interpolants and maximum determinant completions of associated Pick matrices, Integral Equations Operator Theory, 23 (1995), 61-88. More on maximum entropy interpolants and maximum determinant completions of associated Pick matrices, Integral Equations Operator Theory, 24 (1996), 188-229.

5 (Column extensions). Let fl, jt, lB be Krdn spaces. Assume that T E E £(i)T,fl) is a defect operator for T. Let £(fl,jt) and that DT o = (~) E £(fl, jt EB lB) be a column extension of T satisfying at least one of the conditions ind_ (1 - 0*0) + ind_ lB = ind_ (1 - T*T) < 00, = ind_ (1 - TT*) < 00. 6), where Y E £(lB,i)T) is a contraction. 11) (with possibly infinite values). 7). Dritschel [33] has given a beautiful method of proof of such theorems. 4 the properties of continuous partial isometries on KreIn spaces are much the same as in the Hilbert space case.

With J. W. Helton and O. , in press. (with V. Bolotnikov): On boundary interpolation for Books 1. P. McKean): Fourier Series and Integrals, Academic Press, New York,1972. 2. P. McKean): Gaussian Processes, Function Theory and the Inverse Spectral Problem, Academic Press, New York, 1976. 3. , 1989. Operator Theory: Advances and Applications, Vol. 134, 25-30 © 2002 Birkhauser Verlag Basel/Switzerland On Joint Work with Harry Dym Israel Gohberg 1. How it started I immigrated with my family to Israel at the end of July 1974.

### Interpolation Theory, Systems Theory and Related Topics: The Harry Dym Anniversary Volume by Harry Dym (auth.), Daniel Alpay, Victor Vinnikov, Israel Gohberg (eds.)

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