This is a preview of subscription content, log in via an institution to check access.
Literature cited
V. S. Zayachkovskii and A. A. Pankov, “On the stability of the factorizations of polynomial operator pencils”, Funkts. Anal. Prilozhen.,17, No. 2, 73–74 (1983).
I. Gohberg, P. Lancaster, and L. Rodman, “Perturbation theory for divisors of operator polynomials”, SIAM J. Math. Anal.,10, No. 6, 1161–1183 (1979).
A. C. M. Ran and L. Rodman, “Stability of neutral invariant subspaces in indefinite inner products and stable symmetric factorizations”, Integral Equations Operator Theory,6, No. 4, 536–571 (1983).
B. V. Shabat, Introduction to Complex Analysis, Part 2, Functions of Several Variables, [in Russian], Nauka, Moscow (1976).
H. Bart, J. Gohberg, M. A. Kaashoek, “Stable factorizations of monic matrix polynomials and stable invariant subsapces”, Integral Equations Operator Theory,1, No. 4, 496–517 (1978).
P. Lancaster, “Generalized Hermitian matrices: new frontier for numerical analysis?”, in: Numerical Analysis (Dundee, 1981), Lecture Notes in Math., No. 912, Springer, Berlin (1982), pp. 179–189.
D. Mumford, Algebraic Geometry. I. Complex Projective Varieties, Springer-Verlag, Berlin (1976).
H. Langer, “Factorization of operator pencils”, Acta Sci. Math. (Szeged),38, No. 1–2, 83–96 (1976).
M. A. Shayman, “On the variety of invariant subspaces of a finite-dimensional linear operator”, Trans. Am. Math. Soc.,274, No. 2, 721–747 (1982).
Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 51, pp. 141–143, 1989.
Rights and permissions
About this article
Cite this article
Zayachkovskii, V.S., Pankov, A.A. Weak stability of factorizations of operator pencils. J Math Sci 52, 3548–3550 (1990). https://doi.org/10.1007/BF01095419
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01095419