Common multiples of operator polynomials with analytic coefficients

manuscripta mathematica - Tập 25 - Trang 279-314 - 1978
I. Gohberg1, M. A. Kaashoek2, F. van Schagen2
1Department of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel
2Wiskundig Seminarium der Vrije Universiteit, Amsterdam-11, The Netherlands

Tóm tắt

This paper describes the main properties of analytic common monic left multiples of a system of monic operator polynomials whose coefficients depend analytically on ε.

Tài liệu tham khảo

Bart H.,Kaashoek M.A.,Lay D.C.: Relative Inverses of Meromorphic Operator Functions and Associated Holomorphic Projection Functions. Math. Ann. 218 (1975) 199–210 Gohberg I.,Kaashoek M.A., Rodman L.;Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix.I The finite dimensional case. To appear Gohberg I.,Kaashoek M.A.,Rodman L.: Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix.II The infinite dimensional case. J. Funct. Anal. To appear Gohberg I.,Lancaster P.,Rodman L.;Spectral analysis of matrix polynomials.I Canonical forms and divisors. J. Lin. Alg. Applic.To appear Gohberg I.,Lancaster P.,Rodman L.;Representations and divisibility of operator polynomials. Dept. of Mathematics and Statistics,University of Calgary, Res. Paper 341, (1977)