| Autor: |
Chung-Cheng Kuo |
| Předmět: |
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| Zdroj: |
Studia Universitatis Babeş-Bolyai, Mathematica; Dec2020, Vol. 65 Issue 4, p585-597, 13p |
| Abstrakt: |
We show that A+B is a closed subgenerator of a local C -cosine function T(·) on a complex Banach space X defined by ... for all x ∊ X and 0 < t < To, if A is a closed subgenerator of a local C-cosine function C(·) on X and one of the following cases holds: (i) C(·) is exponentially bounded, and B is a bounded linear operator on D(A) so that BC = CB on D(A) and BA C AB; (ii) B is a bounded linear operator on D(A) which commutes with C(·) on D(A) and BA C AB; (iii) B is a bounded linear operator on X which commutes with C(·) on X. Here jn(t) = tn/n! for all t ∊ R, and ... [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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