35 citations · 120 across the 15 of their papers we have counts for
16 papers
The closure of ideals of in its enveloping -algebra
Marcel de Jeu, Jun Tomiyama
If is a compact Hausdorff space and is a homeomorphism of , then an involutive Banach algebra of crossed product type is naturally associated with the topolo…
Topologically irreducible representations of the Banach *-algebra associated with a dynamical system
Aki Kishimoto, Jun Tomiyama
We describe (infinite-dimensional) irreducible representations of the crossed product C-algebra associated with a topological dynamical system (based on ) and we show that t…
Algebraically irreducible representations and structure space of the Banach algebra associated with a topological dynamical system
Marcel de Jeu, Jun Tomiyama
If is a compact Hausdorff space and is a homeomorphism of , then a Banach algebra of crossed product type is naturally associated with this topological dynam…
Characterization of the monotonicity by the inequality
Dinh Trung Hoa, Hiroyuki Osaka, Jun Tomiyama
Let be a normal state on the algebra of all bounded operators on a Hilbert space , a strictly positive, continuous function on , and let be a fun…
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Marcel de Jeu, Jun Tomiyama
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one poi…
A characterisation of C*-algebras through positivity of functionals
Marcel de Jeu, Jun Tomiyama
We show that a unital involutive Banach algebra, with identity of norm one and continuous involution, is a C*-algebra, with the given involution and norm, if every continuous linea…