headerpos: 12198
 
 
 

Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952

Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952
Publisher
Journal Information
» Editorial Board
» Editorial Policy
» Archival Policy
» Article Publication Charges
» Copyright and Licensing Policy
Guidelines for Authors
» For Authors
» Instructions to Authors
» LaTex style files
Guidelines for Reviewers
» For Reviewers
» Review Form
Open Access
List of Issues
» 2019
Vol. 68, Issue 4
Vol. 68, Issue 3
Vol. 68, Issue 2
Vol. 68, Issue 1
» 2018
» 2017
» 2016
» 2015
» 2014
» 2013
» 2012
» 2011
» 2010
» 2009
» 2008
» Back Issues Phys. Math.
» Back Issues Chemistry
» Back issues (full texts)
  in Google. Phys. Math.
» Back issues (full texts)
  in Google. Chemistry
» Back issues (full texts)
  in Google Engineering
» Back issues (full texts)
  in Google Ecology
» Back issues in ETERA Füüsika, Matemaatika jt
Subscription Information
» Prices
Internet Links
Support & Contact
Publisher
» Staff
» Other journals

On non-unital locally pseudoconvex Q-algebras; pp. 324–332

(Full article in PDF format) https://doi.org/10.3176/proc.2019.3.10


Authors

Reyna María Pérez Tiscareño

Abstract

Some equivalent conditions for a topological algebra to be a Q-algebra have been studied by several researchers. They have studied Q-algebras, mainly for unital topological algebras. In this paper some equivalent conditions are studied to be a Q-algebra for non-unital locally pseudoconvex algebras, locally A-pseudoconvex algebras and locally m-pseudoconvex algebras.

Keywords

topological algebra, locally pseudoconvex algebras, locally m-pseudoconvex algebras, locally A-pseudoconvex algebras, quasi-invertibility, Q-algebras.

References

1. Abel , M. and ˙ Zelazko , W. Properties of TQ-algebras. Proc. Est. Acad. Sci. , 2011 , 60(3) , 141–148.
https://doi.org/10.3176/proc.2011.3.01

2. Abel , M. and Arhippainen , J. Locally m-pseudoconvex topologies on locally A-pseudoconvex algebras. Czech. Math. J. , 2004 , 54(3) , 675–680.
https://doi.org/10.1007/s10587-004-6416-6

3. Arizmendi-Peimbert , H. , Perez-Tiscareño , R. M. , and Roa-Fajardo , J. On the spectral radii in (Cb(x);b ) and the M(b ) topology. In Proceedings of the International Conference on Topological Algebras and their Applications (ICTAA 2008) , Tartu , Estonia , January 24–27 , 2008 , (Abel , M. , ed.). Math. Studies , 4 , Est. Math. Soc. , Tartu , 2008 , 29–33.

4. Balachandran , V. K. Topological Algebras. North-Holland Math. Studies , 185 , North-Holland Publ. Co. , Amsterdam , 2000.

5. Fragoulopoulou , M. Topological Algebras With Involution. North-Holland Math. Studies 200 , Elsevier Science , Amsterdam , 2005.

6. Mallios , A. Topological Algebras. Selected Topics. North-Holland Publ. Co. , Amsterdam , 1986.

7. Mascioni , V. Some characterizations of complex normed Q-algebras. El. Math. , 1984 , 42 , 10–14.

8. Palacios , L. , Pérez-Tiscareño , R. M. , and Signoret , C. On Q-algebras and spectral algebras. Poincare J. Anal. Appl. , 2016 , I , 21–28.

9. Palmer , T.W. Banach algebras and the general theory of *-algebras , Vol. 1 , Encyclopedia of math. and its appl. 49 , Cambridge Univ. Press , Cambridge , 1994.
https://doi.org/10.1017/CBO9781107325777

10. Pérez-Tiscareño , R. M. On some characterizations of Q-algebras for unital locally pseudoconvex algebras. Poincare J. Anal. Appl. , 2019 , 1 , 23–30.

11. Pérez-Tiscareño , R. M. When is a unital locally A-pseudoconvex algebra a Q-algebra? In Proceeding of ICTAA 2018 , Tallinn , Estonia , January 25–28 , 2018 (Abel , M. , ed.). Math. Stud. , 7 , Est. Math. Soc. , Tartu , 2018 , 112–120.

 
Back

Current Issue: Vol. 68, Issue 4, 2019




Publishing schedule:
No. 1: 20 March
No. 2: 20 June
No. 3: 20 September
No. 4: 20 December