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Der Generator stark stetiger Verbandshalbgruppen auf \(C(X)\) und dessen Spektrum. (German) Zbl 0416.47015


MSC:

47D03 Groups and semigroups of linear operators
47B60 Linear operators on ordered spaces
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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
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