TY - JOUR
TI - Locally Convex Quasi C*-Algebras and Their Structure
AU - Fragoulopoulou, M.
AU - Trapani, C.
JO - Lecture Notes in Mathematics
PY - 2020
VL - 2257
TODO - null
SP - 163-200
PB - Springer-Verlag
SN - null
TODO - 10.1007/978-3-030-37705-2_7
TODO - null
TODO - Throughout this chapter 0 0] denotes a unital C*-algebra and τ a locally convex topology on 0. Let 0[τ] denote the completion of 0 with respect to the topology τ. Under certain conditions on τ, a subspace of 0[τ], containing 0, will form (together with 0) a locally convex quasi *-algebra ([τ], 0), which is named locally convex quasi C*-algebra. Examples and basic properties of such algebras are presented. So, let 0[0] and τ be as before, with pλλ Λ a defining family of seminorms for τ. Suppose that τ satisfies the properties: (T1)0[ τ] is a locally convex *-algebra with separately continuous multiplication.(T2)τ 0. © 2020, Springer Nature Switzerland AG.
ER -