Dales, H. G.; McClure, J. P. Higher point derivations on commutative Banach algebras. I. (English) Zbl 0364.46040 J. Funct. Anal. 26, 166-189 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 4 Documents MSC: 46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces 46J05 General theory of commutative topological algebras PDFBibTeX XMLCite \textit{H. G. Dales} and \textit{J. P. McClure}, J. Funct. Anal. 26, 166--189 (1977; Zbl 0364.46040) Full Text: DOI References: [1] Badé, W. G.; Curtis, P. C., Homomorphisms of commutative Banach algebras, Amer. J. Math., 82, 851-866 (1960) · Zbl 0099.31903 [2] Badé, W. G.; Curtis, P. C., The continuity of derivations of Banach algebras, J. Functional Analysis, 16, 372-387 (1974) · Zbl 0296.46049 [3] W. G. Badé and P. C. Curtis, Jr.; W. G. Badé and P. C. Curtis, Jr. [4] Bonsall, F. F.; Duncan, J., Complete Normed Algebras (1973), Springer-Verlag: Springer-Verlag New York · Zbl 0271.46039 [5] Dales, H. G., The uniqueness of the functional calculus, (Proc. London Math. Soc., 27 (1973)), 638-648, (3) · Zbl 0269.46038 [6] Dales, H. G.; McClure, J. P., Continuity of homomorphisms into certain commutative Banach algebras, (Proc. London Math. Soc., 26 (1973)), 69-81, (3) · Zbl 0244.46063 [7] Gulick, F., Systems of derivations, Trans. Amer. Math. Soc., 149, 465-488 (1970) · Zbl 0197.11102 [8] Heerema, N., Higher derivations and automorphisms of complete local rings, Bull. Amer. Math. Soc., 76, 1212-1225 (1970) · Zbl 0205.34404 [9] Loy, R. J., Continuity of higher derivations, (Proc. Amer. Math. Soc., 37 (1973)), 505-510 · Zbl 0252.46045 [10] Loy, R. J., Commutative Banach algebras with non-unique complete norm topology, Bull. Australian Math. Soc., 10, 409-420 (1974) · Zbl 0275.46044 [11] Nagel, A., Cohomology of sheaves of holomorphic functions satisfying boundary conditions on product domains, Trans. Amer. Math. Soc., 172, 133-141 (1972) · Zbl 0264.32005 [12] Scheinberg, S., Power series in one variable, J. Math. Anal. Appl., 31, 321-333 (1970) · Zbl 0216.16002 [13] Sherbert, D. R., The structure of ideals and point derivations in Banach algebras of Lipschitz functions, Trans. Amer. Math. Soc., 111, 240-272 (1964) · Zbl 0121.10204 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.