Publications of the Research Institute for Mathematical Sciences

On unbounded positive {$\sp *$}-representations on Fréchet-domains

Wolf-Dieter Heinrichs

Source: Publ. Res. Inst. Math. Sci. Volume 30, Number 6 (1994), 1123-1138.

Primary Subjects: 47D40
Secondary Subjects: 46K10

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.prims/1195164949
Mathematical Reviews number (MathSciNet): MR1322947
Zentralblatt MATH identifier: 0834.47042
Digital Object Identifier: doi:10.2977/prims/1195164949

References

[1] Bierstedt, K. D. and Bonet, J., Stefan Heinrich's Density Condition for Frechet Spaces and the Characterization of the Distinguished Kothe Echelon Spaces, Math. Nachr., 135 (1988), 149-180.
Mathematical Reviews (MathSciNet): MR944226
Zentralblatt MATH: 0688.46001
[2] Heinrich, S., Ultrapowers of Locally Convex Spaces and Applications, II., Math. Nachr., 118 (1984), 285-315.
Mathematical Reviews (MathSciNet): MR773627
Zentralblatt MATH: 0576.46002
[3] Heinrichs, W.-D., The Density Property in Frechet-Domains of Unbounded Operator *-Algebras, Math. Nachr., 165 (1994), 49-60.
Mathematical Reviews (MathSciNet): MR1261362
Zentralblatt MATH: 0826.47031
[4] Kursten, K.-D., Lokalkonvexe *-Algebren und andere lokalkonvexe Raume von aufeinem unitaren Raum definierten linearen Operatoren, Dissertation B, Universitat Leipzig, 1985.
[5] Kursten, K.-D., The Completion of the Maximal Op*-Algebra on a Frechet Domain, Publ. RIMS, Kyoto Univ., 22 (1986), 151-175.
Mathematical Reviews (MathSciNet): MR834354
Zentralblatt MATH: 0607.47043
[6] Kursten, K.-D., On topological linear spaces of operator with a unitary domain of definition, Wiss. Z. Univ. Leipzig, Math.-Natwwiss. R., 39 (6)(1990), 623-655.
Mathematical Reviews (MathSciNet): MR1137011
[7] Kursten, K.-D. and Milde, M., Calkin Representations of Unbounded Operators Algebras Acting on Non-Separable Domains, Math. Nachr., 154 (1991), 285-300.
Mathematical Reviews (MathSciNet): MR1138388
Zentralblatt MATH: 0767.47034
[8] Kursten, K.-D., On Commutatively Dominated Op*-algebras with Frechet Domains, J. Math. Anal. Appl., 157 (1991), 506-526.
Mathematical Reviews (MathSciNet): MR1112331
Zentralblatt MATH: 0748.47042
[9] Kursten, K.-D., On unbounded Calkin Representations, Funkt. Anal., proceedings of the Essen conference edited by K. D. Bierstedt, 150 (1991), 307-327.
Mathematical Reviews (MathSciNet): MR1241686
Zentralblatt MATH: 0797.47025
[10] Loffler, F. and Timmermann, W., The Calkin representation for a certain class of unbounded operators, Rev. Roumaine Math. Pure Appl., 31 (1986), 891-903.
Mathematical Reviews (MathSciNet): MR872441
Zentralblatt MATH: 0608.47050
[11] Schmudgen, K., On topologization of unbounded operator algebras, Rep. Math. Phys., 17 (1980), 359-371.
Mathematical Reviews (MathSciNet): MR630164
Zentralblatt MATH: 0475.47030
[12] Schmudgen, K., Topological Realizations of Calkin Algebras on Frechet Domains of Unbounded Operator Algebras, Z. Anal Anwendung, 5 (6)(1986), 481-490.
Mathematical Reviews (MathSciNet): MR894241
Zentralblatt MATH: 0632.47036
[13] Schmudgen, K., Unbounded Operator Algebras and Representations, Akademie-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR1056697

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Publications of the Research Institute for Mathematical Sciences

Publications of the Research Institute for Mathematical Sciences