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The strict topology on topological algebras

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we define strict, uniform and compact-open topologies on a topological algebra and investigate their properties. These results unify and include several results of other authors.
Wydawca
Rocznik
Strony
883--894
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
autor
  • Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
autor
  • Department of Mathematics, Quaid-Azam University, Islamabad 45320, Pakistan
autor
  • Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Bibliografia
  • [1] E. Ansari-Piri, A class of factorizable topological algebras, Proc. Edinbrugh Math. Soc. 33 (1990), 53-59.
  • [2] R. C. Buck, Bounded continuous functions on a locally compact space, Michigan Math. J. 5 (1958), 95-104.
  • [3] R. C. Busby, Double centralizers and extension of C*-algebras, Trans. Amer. Math. Soc. 132 (1968), 79-99.
  • [4] H. S. Collins, Strict, weighted and mixed topologies and applications, Adv. Math. 19 (1976), 207-237.
  • [5] R. A. Davenport, The strict dual of B*-algebras, Proc. Amer. Math. Soc. 65 (1977), 309-312.
  • [6] B. E. Johnson, An introduction to the theory of centralizers, Proc. London Math. Soc. 14 (1964), 299-300.
  • [7] L. A. Khan, The strict topology on a space of vector-valued functions, Proc. Edinburgh Math. Soc. 22 (1979), 35-41.
  • [8] L. A. Khan, N. Mohammad and A. B. Thaheem, Double multipliers on topological algebras, Internat. J. Math. & Math. Sci. 22 (1999), 629-636.
  • [9] G. Lassner, Topological algebras of operators, Report on Math. Physics 3 (1972), 279-293.
  • [10] G. Lassner, Topological algebras and their applications in quantum statistics, Wiss. Z., Karl-Max. Univ. Leipzig, Math. Naturwiss. Reihe 30 (1981), 572-595.
  • [11] A. Mallios, Topological Algebras - Selected Topics, North-Holland, Amsterdam, 1986.
  • [12] N. C. Phillips, Inverse limits of C*-algebras, J. Operator Theory, 19 (1988), 159-195.
  • [13] N. C. Phillips, Inner derivations on σ-C*-algebras, Math. Nachr. 176 (1995), 243-247.
  • [14] M. Rieffel, Induced Banach representations of Banach algebras and locally compact groups, J. Functional Analysis 1 (1967), 443-491.
  • [15] W. Rudin, Functional Analysis, McGraw-Hill, New York, 1973.
  • [16] W. Ruess, On the locally convex structure of strict topologies, Math. Z. 153 (1977), 179-192.
  • [17] H. H. Schaeffer, Topological Vector Spaces, McMillan, New York, 1966.
  • [18] F. D. Sentilles, The strict topology on bounded sets, Pacific J. Math. 34 (1970), 529-542.
  • [19] F. D. Sentilles and D. C. Taylor, Factorization in Banach algebras and the general strict topology, Trans. Amer. Math. Soc. 142 (1969), 141-152.
  • [20] J. H. Shapiro, The bounded weak star topology and the general strict topology, J. Functional Analysis 8 (1971), 275-286.
  • [21] D. C. Taylor, The strict topology for double centralizer algebras, Trans. Amer. Math. Soc. 150 (1970), 633-643.
  • [22] D. C. Taylor, Interpolations in algebra of operator fields, J. Functional Analysis 10 (1972), 159-190.
  • [23] J. K. Wang, Multipliers of commutative Banach algebras, Pacific J. Math. 11 (1961), 1131-1149.
  • [24] W. Żelazko, On the locally bounded and m-convex topological algebras, Studia Math. 19 (1960), 333-356.
  • [25] W. Żelazko, Selected Topics in Topological Algebras, Lecture Notes Series No. 31, Matematisk Institut, Aarhus Universitet, 1971.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0011-0012
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