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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Online ISBN: 978-3-540-46988-9
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