Real linear isometries between function algebras. II
Open Mathematics (2013)
- Volume: 11, Issue: 10, page 1838-1842
- ISSN: 2391-5455
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topOsamu Hatori, and Takeshi Miura. "Real linear isometries between function algebras. II." Open Mathematics 11.10 (2013): 1838-1842. <http://eudml.org/doc/268985>.
@article{OsamuHatori2013,
abstract = {We describe the general form of isometries between uniformly closed function algebras on locally compact Hausdorff spaces in a continuation of the study by Miura. We can actually obtain the form on the Shilov boundary, rather than just on the Choquet boundary. We also give an example showing that the form cannot be extended to the whole maximal ideal space.},
author = {Osamu Hatori, Takeshi Miura},
journal = {Open Mathematics},
keywords = {Isometries; Algebra isomorphisms; Uniformly closed function algebras; isometry; algebra isomorphism; function algebra},
language = {eng},
number = {10},
pages = {1838-1842},
title = {Real linear isometries between function algebras. II},
url = {http://eudml.org/doc/268985},
volume = {11},
year = {2013},
}
TY - JOUR
AU - Osamu Hatori
AU - Takeshi Miura
TI - Real linear isometries between function algebras. II
JO - Open Mathematics
PY - 2013
VL - 11
IS - 10
SP - 1838
EP - 1842
AB - We describe the general form of isometries between uniformly closed function algebras on locally compact Hausdorff spaces in a continuation of the study by Miura. We can actually obtain the form on the Shilov boundary, rather than just on the Choquet boundary. We also give an example showing that the form cannot be extended to the whole maximal ideal space.
LA - eng
KW - Isometries; Algebra isomorphisms; Uniformly closed function algebras; isometry; algebra isomorphism; function algebra
UR - http://eudml.org/doc/268985
ER -
References
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- [2] Fleming R.J., Jamison J.E., Isometries on Banach Spaces: Function Spaces, Chapman Hall/CRC Monogr. Surv. Pure Appl. Math., 129, Chapman&Hall/CRC, Boca Raton, 2003 Zbl1011.46001
- [3] de Leeuw K., Rudin W., Wermer J., The isometries of some function spaces, Proc. Amer. Math. Soc., 1960, 11(5), 694–698 http://dx.doi.org/10.1090/S0002-9939-1960-0121646-9[Crossref] Zbl0097.09802
- [4] Miura T., Real-linear isometries between function algebras, Cent. Eur. J. Math., 2011, 9(4), 778–788 http://dx.doi.org/10.2478/s11533-011-0044-9[Crossref] Zbl1243.46043
- [5] Nagasawa M., Isomorphisms between commutative Banach algebras with an application to rings of analytic functions, Kōdai Math. Sem. Rep., 1959, 11(4), 182–188 http://dx.doi.org/10.2996/kmj/1138844205[Crossref]
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