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On the stability of positive semigroups generated by operator matrices

Part of the Lecture Notes in Mathematics book series (LNM,volume 1422)

Abstract

We consider unbounded operator matrices generating positive semigroups on products of Banach lattices. Generalizing the concept of an M-matrix (see [2]) we characterize the stability of the generated semigroup by simple criteria.

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Dedicated to E. Vesentini on the occasion of his 60th birthday.

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© 1990 Springer-Verlag

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Nagel, R. (1990). On the stability of positive semigroups generated by operator matrices. In: Villani, V. (eds) Complex Geometry and Analysis. Lecture Notes in Mathematics, vol 1422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089406

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  • DOI: https://doi.org/10.1007/BFb0089406

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52434-2

  • Online ISBN: 978-3-540-46988-9

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