A note on topologically nilpotent Banach algebras
Dixon, P. ; Müller, V.
Studia Mathematica, Tome 103 (1992), p. 269-275 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

A Banach algebra A is said to be topologically nilpotent if sup∥x₁......xn∥1/n:xi∈A,∥xi∥≤1(1≤i≤n) tends to 0 as n → ∞. We continue the study of topologically nilpotent algebras which was started in [2]

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:215928 
@article{bwmeta1.element.bwnjournal-article-smv102i3p269bwm,
     author = {P. Dixon and V. M\"uller},
     title = {A note on topologically nilpotent Banach algebras},
     journal = {Studia Mathematica},
     volume = {103},
     year = {1992},
     pages = {269-275},
     zbl = {0812.46038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv102i3p269bwm}
}

Dixon, P.; Müller, V. A note on topologically nilpotent Banach algebras. Studia Mathematica, Tome 103 (1992) pp. 269-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv102i3p269bwm/

[00000] [1] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin 1973. | Zbl 0271.46039

[00001] [2] P. G. Dixon, Topologically nilpotent Banach algebras and factorization, Proc. Roy. Soc. Edinburgh Sect. A 119 (1991), 329-341. | Zbl 0762.46039

[00002] [3] P. G. Dixon and G. A. Willis, Approximate identities in extensions of topologically nilpotent Banach algebras, Proc. Roy. Soc. Edinburgh Sect. A, to appear. | Zbl 0799.46060

[00003] [4] S. Grabiner, The nilpotency of Banach nil algebras, Proc. Amer. Math. Soc. 21 (1969), 510. | Zbl 0174.44602

[00004] [5] G. Higman, On a conjecture of Nagata, Proc. Cambridge Philos. Soc. 52 (1956), 1-4. | Zbl 0072.02502