An infinite dimensional Banach algebra with all but one maximal abelian subalgebras of dimension two

Wiesław Żelazko. "An infinite dimensional Banach algebra with all but one maximal abelian subalgebras of dimension two." Commentationes Mathematicae 48.1 (2008): null. <http://eudml.org/doc/292282>.

@article{WiesławŻelazko2008,
abstract = {I construct a unital closed subalgebra of $L(H)$ with the property announced in the title. Moreover, for any two maxiamal abelian subalgebras of the algebra in question, their intersection consists only of scalar multiples of the unity.},
author = {Wiesław Żelazko},
journal = {Commentationes Mathematicae},
keywords = {Abelian algebra; Bounded operators; Complex Banach space},
language = {eng},
number = {1},
pages = {null},
title = {An infinite dimensional Banach algebra with all but one maximal abelian subalgebras of dimension two},
url = {http://eudml.org/doc/292282},
volume = {48},
year = {2008},
}

TY - JOUR
AU - Wiesław Żelazko
TI - An infinite dimensional Banach algebra with all but one maximal abelian subalgebras of dimension two
JO - Commentationes Mathematicae
PY - 2008
VL - 48
IS - 1
SP - null
AB - I construct a unital closed subalgebra of $L(H)$ with the property announced in the title. Moreover, for any two maxiamal abelian subalgebras of the algebra in question, their intersection consists only of scalar multiples of the unity.
LA - eng
KW - Abelian algebra; Bounded operators; Complex Banach space
UR - http://eudml.org/doc/292282
ER -