Derndinger, Roland; Nagel, Rainer Der Generator stark stetiger Verbandshalbgruppen auf \(C(X)\) und dessen Spektrum. (German) Zbl 0416.47015 Math. Ann. 245, 159-177 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 10 Documents MSC: 47D03 Groups and semigroups of linear operators 47B60 Linear operators on ordered spaces Keywords:symmetry of spectra; strongly continuous semigroup of lattice homomorphisms Citations:Zbl 0176.106; Zbl 0211.447 PDFBibTeX XMLCite \textit{R. Derndinger} and \textit{R. Nagel}, Math. Ann. 245, 159--177 (1979; Zbl 0416.47015) Full Text: DOI EuDML References: [1] Derndinger, R.: Über das Spektrum positiver Generatoren. Erscheint in Math. Z. · Zbl 0444.47030 [2] Hille, E., Phillips, R.S.: Functional analysis and semigroups. Amer. Math. Soc. Coll. Publ., Vol. 31, Providence, R.I. (1957) · Zbl 0078.10004 [3] v. Neumann, J.: Zur Operatorenmethode in der klassischen Mechanik. Ann. Math.33, 587-642 (1932) · Zbl 0005.12203 · doi:10.2307/1968537 [4] Pazy, A.: Semi-groups of linear operators and applications to partial differential equations. University of Maryland, Lecture Note10 (1974) [5] Phillips, R.S.: The adjoint semi-group. Pacific J. Math.5, 269-283 (1955) · Zbl 0064.11202 [6] Scarpellini, B.: On the spectra of certain semi-groups. Math. Ann.211, 323-336 (1974) · Zbl 0291.47021 · doi:10.1007/BF01418229 [7] Schaefer, H.H.: Topological vector spaces. 3rd print. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0212.14001 [8] Schaefer, H.H.: Banach lattices and positive operators. Berlin, Heidelberg, New York: Springer 1974 · Zbl 0296.47023 [9] Schaefer, H.H., Wolff, M., Arendt, W.: On lattice isomorphisms with positive real spectrum and groups of positive operators. Math. Z.164, 115-123 (1978) · Zbl 0385.47023 · doi:10.1007/BF01174818 [10] Scheffold, E.: Das Spektrum von Verbandsoperatoren in Banachverbänden. Math. Z.123, 177-190 (1971) · Zbl 0216.42101 · doi:10.1007/BF01110116 [11] Wolff, M.: Über das Spektrum von Verbandshomomorphismen inC(X). Math. Ann.182, 161-169 (1969) · Zbl 0176.10601 · doi:10.1007/BF01350319 [12] Wolff, M.: OnC 0-semigroups of lattice homomorphisms on a Banach lattice. Math. Z.164, 69-80 (1978) · Zbl 0386.47022 · doi:10.1007/BF01214791 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.