A note on the hyperreflexivity constant for certain reflexive algebras
Studia Mathematica, Tome 134 (1999) no. 3, pp. 203-206
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Using results on the reflexive algebra with two invariant subspaces, we calculate the hyperreflexivity constant for this algebra when the Hilbert space is two-dimensional. Then by the continuity of the angle for two subspaces, there exists a non-CSL hyperreflexive algebra with hyperreflexivity constant C for every C>1. This result leads to a kind of continuity for the hyperreflexivity constant.
@article{10_4064_sm_134_3_203_206,
author = {Satoru Tosaka},
title = {A note on the hyperreflexivity constant for certain reflexive algebras},
journal = {Studia Mathematica},
pages = {203--206},
year = {1999},
volume = {134},
number = {3},
doi = {10.4064/sm-134-3-203-206},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-134-3-203-206/}
}
TY - JOUR AU - Satoru Tosaka TI - A note on the hyperreflexivity constant for certain reflexive algebras JO - Studia Mathematica PY - 1999 SP - 203 EP - 206 VL - 134 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-134-3-203-206/ DO - 10.4064/sm-134-3-203-206 LA - fr ID - 10_4064_sm_134_3_203_206 ER -
Satoru Tosaka. A note on the hyperreflexivity constant for certain reflexive algebras. Studia Mathematica, Tome 134 (1999) no. 3, pp. 203-206. doi: 10.4064/sm-134-3-203-206
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