Summary.
Let K be a closed convex cone with the nonempty interior in a real Banach space. A necessary and sufficient condition is given below that a family \(\{F_t : t \in {\mathbb{R}}\}\) of multifunctions F t : K → cc(K) is a regular cosine family of continuous Jensen multifunctions.
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Manuscript received: June 12, 2006 and, in final form, December 17, 2006.
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Piszczek, M. On cosine families of Jensen set-valued functions. Aequ. math. 75, 103–118 (2008). https://doi.org/10.1007/s00010-007-2888-4
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DOI: https://doi.org/10.1007/s00010-007-2888-4