On projective limits of real C*-algebras and Jordan operator algebras
Автор: Katz Alexander A., Friedman Oleg
Журнал: Владикавказский математический журнал @vmj-ru
Статья в выпуске: 2 т.8, 2006 года.
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In the present paper a real and Jordan analogues of complex locally C*-algebras are introduced. Their definitions and basic properties are discussed.
Короткий адрес: https://sciup.org/14318182
IDR: 14318182
Список литературы On projective limits of real C*-algebras and Jordan operator algebras
- Allan G. R. On a class of locally convex algebras//Proc. London Math. Soc. Ser. III.-1967.-V. 17.-P. 91-114.
- Arens R. A generalization of normed rings//Pac. J. Math.-1952.-V. 2.-P. 455-471.
- Ayupov Sh. A., Rakhimov A. A., Usmanov Sh. M. Jordan, Real and Lie structures in operator algebras.-Dordrecht: Kluwer, 1997.-225 p.
- Brooks R. M. On representing F*-algebras//Pacific J. Math.-1971.-V. 39.-P. 51-69.
- Fragoulopoulou M. An introduction to the representation theory of topological *-algebras//Schriftenr. Math. Inst. Univ. Munster. Ser. 2.-1988.-V. 48.-81 p.
- Fritzsche M. On the existence of dense ideals in LMC*-algebras//Z. Anal. Anwend.-1982.-V. 1, № 3.-P. 81-84.
- Fritzsche M. Uber die Struktur maximaler Ideale in LMC*-Algebren. (On the structure of maximal ideals in LMC*-algebras)//Z. Anal. Anwend.-1985.-V. 4.-P. 201-205.
- Hanche-Olsen H., Stormer E. Jordan operator algebras.-Boston-London-Melbourne: Pitman Advanced Publishing Program. VIII, 1984.-183 p.
- Iguri S., Castagnino M. The formulation of quantum mechanics in terms of nuclear algebras//Int. J. Theor. Phys.-1999.-V. 38, № 1.-P. 143-164.
- Inoue A. Locally C*-algebra//Mem. Fac. Sci. Kyushu Univ. Ser. A.-1971.-V. 25.-P. 197-235.
- Michael E. A. Locally multiplicatively-convex topological algebras//Mem. Amer. Math. Soc.-1952.-V. 11.-79 p.
- Li B. Real operator algebras.-River Edge, NJ: World Scientific, 2003.-241 p.
- Pedersen G. K. C*-algebras and their automorphism groups.-London-New York-San Francisco: Acad. press, 1979.-416 p.
- Pietsch A. Nuclear locally convex spaces.-Berlin-Heidelberg-New York: Springer, 1972.-192 p.
- Phillips N. C. Inverse limits of C*-algebras//J. Operator Theory.-1988.-V. 19, № 1.-P. 159-195.
- Schaefer H. H., Wolff M. P. Topological vector spaces.-New York: Springer, 1999.-346 p.
- Schmudgen K. Uber LMC-Algebren//Math. Nachr.-1975.-V. 68.-P. 167-182.
- Sya Do-Shin. On semi-normed rings with involution//Izv. Akad. Nauk SSSR. Ser. Mat.-1959.-V. 23.-P. 509-528.
- Treves F. Topological vector spaces: Distributions and Kernels.-New York-London: Acad. press, 1967.-565 p.
- Wenjen C. On semi-normed *-algebras//Pacific J. Math.-1958.-V. 8.-P. 177-186.
- Whitehead G. W. Elements of homotopy theory.-New York-Berlin: Springer, 1978.-744 p.
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