Commutativity of set-valued cosine families
| Autor: | Andrzej Smajdor, Wilhelmina Smajdor |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Discrete mathematics
47d09 47h04 General Mathematics Banach space Regular polygon 39b52 commutative cosine families cosine and sine families of set-valued functions Set (abstract data type) Number theory the second order set-valued differential problem QA1-939 Trigonometric functions Convex cone Algebra over a field Commutative property Mathematics |
| Zdroj: | Open Mathematics, Vol 12, Iss 12, Pp 1871-1881 (2014) |
| ISSN: | 2391-5455 |
| DOI: | 10.2478/s11533-014-0433-y |
| Popis: | Let K be a closed convex cone with nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. If {F t: t ≥ 0} is a regular cosine family of continuous additive set-valued functions F t: K → cc(K) such that x ∈ F t(x) for t ≥ 0 and x ∈ K, then $F_t \circ F_s (x) = F_s \circ F_t (x)fors,t \geqslant 0andx \in K$. |
| Databáze: | OpenAIRE |
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