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Języki publikacji
Abstrakty
This is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces.
Czasopismo
Rocznik
Tom
Strony
735--747
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Bilkent University Department of Mathematics 06800 Bilkent, Ankara, Turkey Institutul de Matematica al Academiei Romane C.P. 1-764, 014700 Bucuresti, Romania
Bibliografia
- [1] G. Allan, On a class of locally convex algebras, Proc. London Math. Soc. 15 (1965), 399-421.
- [2] C. Apostoł, b*-Algebras and their representations, J. London Math. Soc. 33 (1971), 30-38.
- [3] J. Bognar, Indefinite Inner Product Spaces, Springer Verlag, Berlin 1974.
- [4] A. Gheondea, Operator models for Hilbert locally C* -modules, arXiv: 1507.07643 [math.OA].
- [5] A. Grothendieck, Topological Vector Spaces, Gordon and Breach, Montreux 1973.
- [6] S. Gudder, Inner product spaces, Amer. Math. Month. 81 (1974), 29-36.
- [7] A. Inoue, Locally C*-algebras, Mem. Fac. Sci. Kyushu Univ. Ser. A, 25 (1971), 197-235.
- [8] M. Joitja, Locally von Neumann algebras, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 42 (1999) 90, 51-64.
- [9] R. V. Kadison, J.R. Ringrose, Fundamentals of the Theory of Operator Algebras, Volume I: Elementary Theory, Graduate Studies in Mathematics, vol. 15, Amer. Math. Soc, 1997.
- [10] Y. Komura, Some examples on locally convex spaces, Math. Annalen 153 (1964), 150-162. [11] G. Kóthe, Topological Vector Spaces I, Second edition, Springer-Verlag, Berlin 1983.
- [12] R. Meise, D. Vogt, Introduction to Functional Analysis, Oxford University Press, Oxford 1997.
- [13] N.C. Phillips, Inverse limits of C*-algebras, J. Operator Theory 19 (1988), 159-195. [14] K. Schmudgen, Uber LMC*-Algebren, Math. Nachr. 68 (1975), 167-182.
- [15] D. Voiculescu, Dual algebraic structures on operator algebras related to free products, J. Operator Theory 17 (1987), 85-98.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-41c4ba39-dbf1-4363-9e50-39af6788bbfe