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math.OA2020
The parabolic algebra revisited
Eleftherios Kastis, Stephen Power
The parabolic algebra A_p is the weakly closed algebra on L^2(R) generated by the unitary semigroup of right translations and the unitary semigroup of multiplication by the analyti…
math.OA2018
The norm closed triple semigroup algebra
Eleftherios Kastis
The w*-closed triple semigroup algebra was introduced by Power and the author in [19], where it was proved to be reflexive and to be chiral, in the sense of not being unitarily equ…
math.OA2014
The operator algebra generated by the translation, dilation and multiplication semigroups
Eleftherios Kastis, Stephen Power
The weak operator topology closed operator algebra on generated by the one-parameter semigroups for translation, dilation and multiplication by , is sho…