Abstract
Let X be a real vector space and T a linear map of X into itself. We give necessary and sufficient conditions for existence of a proper hyperinvariant subspace for T. These conditions are not identical with those for a complex vector space.
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References
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W. Żelazko, On existence of hyperinvariant subspaces for linear maps, Banach J. Math. Anal. 3 (2009), no. 1, 143–148.
W. Żelazko, Operators on locally convex spaces, in: Operator Theory: Advances and Applications, Vol. 187, 237–247, 2008 Birkhäuser Verlag Basel.
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© 2009 Birkhäuser Verlag Basel/Switzerland
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Żelazko, W. (2009). On Hyperinvariant Subspaces for Linear Maps of Real Vector Spaces. In: Grobler, J.J., Labuschagne, L.E., Möller, M. (eds) Operator Algebras, Operator Theory and Applications. Operator Theory: Advances and Applications, vol 195. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0174-0_15
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DOI: https://doi.org/10.1007/978-3-0346-0174-0_15
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0173-3
Online ISBN: 978-3-0346-0174-0
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