Conditions are given for Banach algebras A and Banach algebras B which insure that every homomorphism T from A into B is automatic continuous. Similar results are obtained for derivations which either map the algebra A into itself.
| Published in | Pure and Applied Mathematics Journal (Volume 4, Issue 2) |
| DOI | 10.11648/j.pamj.20150402.12 |
| Page(s) | 43-46 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
*-Algebra, *Prime Algebra, *-Simple Algebra, Automatic Continuity, Separting Space
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APA Style
Youssef Tidli. (2015). The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra. Pure and Applied Mathematics Journal, 4(2), 43-46. https://doi.org/10.11648/j.pamj.20150402.12
ACS Style
Youssef Tidli. The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra. Pure Appl. Math. J. 2015, 4(2), 43-46. doi: 10.11648/j.pamj.20150402.12
AMA Style
Youssef Tidli. The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra. Pure Appl Math J. 2015;4(2):43-46. doi: 10.11648/j.pamj.20150402.12
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Download@article{10.11648/j.pamj.20150402.12,
author = {Youssef Tidli},
title = {The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {2},
pages = {43-46},
doi = {10.11648/j.pamj.20150402.12},
url = {https://doi.org/10.11648/j.pamj.20150402.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150402.12},
abstract = {Conditions are given for Banach algebras A and Banach algebras B which insure that every homomorphism T from A into B is automatic continuous. Similar results are obtained for derivations which either map the algebra A into itself.},
year = {2015}
}
TY - JOUR T1 - The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra AU - Youssef Tidli Y1 - 2015/02/11 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.20150402.12 DO - 10.11648/j.pamj.20150402.12 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 43 EP - 46 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20150402.12 AB - Conditions are given for Banach algebras A and Banach algebras B which insure that every homomorphism T from A into B is automatic continuous. Similar results are obtained for derivations which either map the algebra A into itself. VL - 4 IS - 2 ER -
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