THE nth ROOTS AND THE QUASI SQUARE ROOTS IN COMPLETE METRIZABLE FUNDAMENTAL TOPOLOGICAL ALGEBRAS

E. Ansari-Piri (Iran) and A. Zohri (Iran)

Received December 12, 2007

References:

[1] E. Ansari-Piri, A class of factorable topological algebras, Proc. Edinburgh Math. Soc. (2) 33 (1990), 53-59. [2] E. Ansari-Piri, Completion of fundamental topological vector spaces, Honam Math. J. 26(1) (2004), 77-83. [3] E. Ansari-Piri, Topics on fundamental topological algebras, Honam Math. J. 23(1) (2001), 59-66. [4] F. F. Bonsall and J. Doncan, Complete Normed Algebras, Springer-Verlag, Berlin, 1973. [5] John B. Conway, A Course in Functional Analysis, Springer-Verlag, New York, 1990. [6] Erwin Kreyszig, Introductory Functional Analysis with Applications, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1989 [7] W. Rudin, Functional Analysis, McGraw-Hill Publishing Company, Ltd., 1985. [8] Husain Taqdir, Multiplicative Functionals on Topological Algebras, McMaster University, 1983.

Keywords and phrases: fundamental topological algebra, quasi square roots, the nth roots.