Common multiples of operator polynomials with analytic coefficients
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)