Spectral representation of local semigroups in locally convex spaces
Czechoslovak Mathematical Journal, Tome 35 (1985) no. 2, pp. 248-259
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DOI : 10.21136/CMJ.1985.102013
Classification : 47B25, 47D05
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Ricker, Werner. Spectral representation of local semigroups in locally convex spaces. Czechoslovak Mathematical Journal, Tome 35 (1985) no. 2, pp. 248-259. doi: 10.21136/CMJ.1985.102013

[1] Bade W.: On Boolean algebras of projections and algebras of operators. Trans. Amer. Soc. 80, 345-359(1955). | DOI | MR | Zbl

[2] Devinatz A.: A note on semigroups of unbounded self-adjoint operators. Proc. Amer. Math. Soc. 5, 101-103 (1954). | DOI | MR

[3] Friedman A.: Generalized functions and partial differential equations. Englewood Cliffs: Prentice Hall 1963. | MR | Zbl

[4] Hille E., Phillips R. S.: Functional analysis and semigroups. Rev. ed. Amer. Math. Soc. Colloq. Publ., Vol. 31. Providence: Amer. Math. Soc. 1957. | MR | Zbl

[5] Hughes R. J.: Semigroups of unbounded linear operators in Banach space. Trans. Amer. Math. Soc. 230, 113-145 (1977). | DOI | MR | Zbl

[6] Kantorovitz S., Hughes R. J,: Spectral representation of local semigroups. Math. Ann. 259, 455-470 (1982). | DOI | MR | Zbl

[7] Klein A., Landau L.: Construction of a unique self-adjoint generator for a symmetric local semigroup. J. Funct. Analysis 44, 121-137 (1981). | DOI | MR | Zbl

[8] Kluvánek I.: Characterization of Fourier-Stieltjes transforms of vector and operator valued measures. Czechoslovak Math. J. 17 (92), 261 - 276 (1967). | MR

[9] Kluvánek I., Knowles K.: Vector measures and control systems. Amsterdam: North Holland 1976.

[10] Nussbaum A. E.: Integral representation of semigroups of unbounded self-adjoint operators. Ann. of Math. 69, 133-141 (1959). | DOI | MR

[11] Nussbaum A. E.: Spectral representation of certain one-parametric families of symmetric operators in Hilbert space. Trans. Amer. Math. Soc. 152, 419-429 (1970). | MR | Zbl

[12] Tumarkin Ju. В.: On locally convex spaces with basis. Dokl. Akad. Nauk SSSR, 195, 1278-1281; Soviet Math. Dokl. 11, 1672-1675 (1970). | MR

[13] Walsh В.: Structure of spectral measures on locally convex spaces. Trans. Amer. Math. Soc. 120,295-326(1965). | MR | Zbl

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