Buche, A. B. On an exponential-cosine operator-valued functional equation. (English) Zbl 0334.39002 Aequationes Math. 13, 233-241 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 39B52 Functional equations for functions with more general domains and/or ranges 47D03 Groups and semigroups of linear operators 47D99 Groups and semigroups of linear operators, their generalizations and applications PDFBibTeX XMLCite \textit{A. B. Buche}, Aequationes Math. 13, 233--241 (1975; Zbl 0334.39002) Full Text: DOI EuDML References: [1] Aczél, J.,Lectures on Functional Equations and Their Applications. Academic Press, New York-London 1966, [Math. in Science and Engineering, Vol. 19]. · Zbl 0139.09301 [2] Buche, A. B. andBharucha-Reid, A. T.,On Some Functional Equations Associated with Semigroups of Operators, Proc. Nat. Acad. Sci. U.S.A.60, 1170–1174 (1968). · Zbl 0159.44002 · doi:10.1073/pnas.60.4.1170 [3] Buche, A. B.,On the Cosine-sine Operator Functional Equations, Aequationes Math.6, 231–234 (1971). · Zbl 0232.47044 · doi:10.1007/BF01819756 [4] Hille, E. andPhillips, R. S.,Functional Analysis and Semi-groups. Amer. Math. Soc., Providence, R.I. 1957 [Amer. Math. Soc. Colloq. Publ. Vol. 31]. [5] Kurepa, S.,On Some Functional Equations in Banach Spaces, Studia Math.19, 149–158 (1960). · Zbl 0100.32702 [6] Kurepa, S.,A Cosine Functional Equation in Banach Algebras, Acta. Sci. Math. (Szeged)23, 255–267 (1962). · Zbl 0113.31702 [7] Sova, M.,Cosine Operator Functions. Panstwowe Wydawnictwo Naukowe, Warsaw 1966 [Rozprawy Mat., Vol.49]. · Zbl 0156.15404 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.