ON REGULAR MULTIVALUED COSINE FAMILIES Let X, Y, Z be ...
ON REGULAR MULTIVALUED COSINE FAMILIES Let X, Y, Z be ...
ON REGULAR MULTIVALUED COSINE FAMILIES Let X, Y, Z be ...
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280 Andrzej SmajdorREMARK 3. In the proof of Theorems 1 and 2 we have essentialy usedideas of M. Sova [8] for cosine operator functions.REFERENCES[1] N. Bourbaki, Elements de Mathematique, Livre V, Espaces Vectoriels Topologiques, Paris1953-1955.[2] E. Hille, R. S. Phillips, Functional Analysis and Semigroups, Providence, Rhode Island1957.[3] J. Olko, Rodziny wielowartościowych funkcji liniowych, doctoral dissertation.[4] J. Olko, Semigroups of set-valued functions, Publ. Math. 51 (1997), 81-96.[5] H. Radstrom, An em<strong>be</strong>dding theorem for space of convex sets, Proc. Amer. Math. Soc. 3(1952), 165-169.[6] A. Smajdor, Iteration of multivalued functions, Prace Naukowe Uniwersytetu Śląskiego wKatowicach nr 759, Uniwersytet Śląski, Katowice 1985.[7] W. Smajdor, Superadditive set-valued functions an Banach-Steinhaus theorem, RadoviMat. 3 (1987), 203-214.[8] M. Sova, Cosine operator functions, Rozprawy Mat. 49 (1966), 1-47.PEDAGOGICAL UNIVERSITYPODCHORĄŻYCH 2PL-30-084 KRAKÓWPOLAND
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