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Stability of Invariant Lagrangian Subspaces I

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Topics in Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 32))

Abstract

Recently, the problems of stability of invariant subspaces of matrices and operators, i.e. the behaviour of invariant subspaces under small perturbations of the matrix or the operator, attracted much attention (see [BGK, GR, GLR1, AFS]). The main motivation to consider these problems comes from factorizations of matrix and operator functions, where invariant subspaces appear as the main tool in describing the factorizations (for this approach to factorization see, e.g., [BGK, GLR2]).

Partially supported by an NSF grant, and by Summer Research Grant from the College of Liberal Arts, Arizona State University.

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Dedicated to the memory of Constantin Apostol

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© 1988 Springer Basel AG

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Ran, A.C.M., Rodman, L. (1988). Stability of Invariant Lagrangian Subspaces I. In: Gohberg, I. (eds) Topics in Operator Theory. Operator Theory: Advances and Applications, vol 32. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5475-7_11

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  • DOI: https://doi.org/10.1007/978-3-0348-5475-7_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5477-1

  • Online ISBN: 978-3-0348-5475-7

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