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Some properties of the spectral radius of a monic operator polynomial with nonnegative compact coefficients

✍ Scribed by K. -H. Förster; B. Nagy

Publisher
SP Birkhäuser Verlag Basel
Year
1991
Tongue
English
Weight
496 KB
Volume
14
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

Local spectral radii and Collatz-Wieland
Local spectral radii and Collatz-Wielandt numbers of monic operator polynomials with nonnegative coefficients
✍ K.-H. Förster; B. Nagy 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 666 KB

Operator polynomials L(A)= htI-A I 1A l\_ 1 ..... hA 1 -A o are considered, where A0,..., A t\_l are nonnegative operators in a Banach space ~ with normal cone ~+. For x G ~-o~+ we define the local spectral radius rL(x) and the lower and upper Collatz-Wielandt numbers rL(x) and rL(x), respectively,