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The Maximum Principle for Holomorphic Operator Functions

✍ Scribed by Andrzej Daniluk

Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
159 KB
Volume
69
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

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✍ Anke Kalauch 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 166 KB

For M-matrices a condition to satisfy the "maximum principle for inverse column entries" is known. We generalize this result (concerning a more general maximum principle) for M-operators on R n , ordered by some cone, as well as, to a certain extent, for M-operators on infinite-dimensional ordered n

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For a real Banach space \(X\) the maximum principle holds for every \(X\)-valued harmonic function if and only if \(X\) is a strictly convex Banach space. 1993 Academic Press. Inc.