Hi all, Please join us for the following talk on Friday May 5th at 9am (central). The zoom link: https://unt.zoom.us/j/88959687677 Best, Bunyamin A Banach space with an infinite dimensional reflexive quotient operator algebra L(X)/SS(X) Anna Pelczar-Barwacz (Jagiellonian) Abstract. I will discuss method of constructing a Banach space X such that the algebra of bounded operators L(X) is a direct sum of an infinite dimensional reflexive Banach space V and the operator ideal of strictly singular operators SS(X). The space V is spanned by an unconditional basic sequence (I_s)_{s=0}^\infty where I_0 is the identity on X, whereas each I_s, s=1,2,... is a projection on some subspace X_s of X. The multiplication on V is defined naturally: V is the unitization of the subalgebra of L(X) spanned by (I_s)_{s=1}^\infty with the pointwise multiplication. https://researchseminars.org/talk/BanachWebinars/77/