# Concerning entire functions in ${B}_{0}$-algebras

Studia Mathematica (1994)

- Volume: 110, Issue: 3, page 283-290
- ISSN: 0039-3223

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topŻelazko, W.. "Concerning entire functions in $B_{0}$-algebras." Studia Mathematica 110.3 (1994): 283-290. <http://eudml.org/doc/216115>.

@article{Żelazko1994,

abstract = {We construct a non-m-convex non-commutative $B_0$-algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.},

author = {Żelazko, W.},

journal = {Studia Mathematica},

keywords = {non--convex non-commutative -algebra on which all entire functions operate; -algebra; radical algebra},

language = {eng},

number = {3},

pages = {283-290},

title = {Concerning entire functions in $B_\{0\}$-algebras},

url = {http://eudml.org/doc/216115},

volume = {110},

year = {1994},

}

TY - JOUR

AU - Żelazko, W.

TI - Concerning entire functions in $B_{0}$-algebras

JO - Studia Mathematica

PY - 1994

VL - 110

IS - 3

SP - 283

EP - 290

AB - We construct a non-m-convex non-commutative $B_0$-algebra on which all entire functions operate. Our example is also a Q-algebra and a radical algebra. It follows that some results true in the commutative case fail in general.

LA - eng

KW - non--convex non-commutative -algebra on which all entire functions operate; -algebra; radical algebra

UR - http://eudml.org/doc/216115

ER -

## References

top- [1] E. A. Michael, Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc. 11 (1952). Zbl0047.35502
- [2] B. S. Mityagin, S. Rolewicz and W. Żelazko, Entire functions in ${B}_{0}$-algebras, Studia Math. 21 (1962), 291-306. Zbl0111.31001
- [3] P. Turpin, Une remarque sur les algèbres à inverse continu, C. R. Acad. Sci. Paris 270 (1979), 1686-1689. Zbl0195.13804
- [4] L. Waelbroeck, Topological Vector Spaces and Algebras, Lecture Notes in Math. 230, Springer, 1971.
- [5] W. Żelazko, Metric generalizations of Banach algebras, Rozprawy Mat. (Dissertationes Math.) 47 (1965). Zbl0131.13005
- [6] W. Żelazko, Selected Topics in Topological Algebras, Aarhus University Lecture Notes Ser. 31, 1971. Zbl0221.46041
- [7] W. Żelazko, A non-m-convex algebra on which operate all entire functions, Ann. Polon. Math. 46 (1985), 389-394. Zbl0608.46029
- [8] W. Żelazko, On certain open problems in topological algebras, Rend. Sem. Mat. Fis. Milano 59 (1989) (1992), 49-58. Zbl0755.46019

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