Data: 15.04.2025 (wtorek), godz. 10.00-11.30
Miejsce: B3-39
Prelegent: prof. Anna Pelczar-Barwacz
Streszczenie:
The celebrated Argyros-Haydon space with small algebra of bounded operators initiated construction of Banach spaces with prescribed Calkin algebra (i.e. the quotient operator algebra over the ideal of compact operators), in particular of the form \(C(K)\), for \(K\) metrizable, or \(\ell_1\). During the talk we briefly describe known results and present the idea of the construction of Banach spaces with Calkin algebras that are isomorphic to Banach spaces with an unconditional basis (and pointwise multiplication) from a wide class, including \(\ell_p\), \(1\leq p<\infty\), with the canonical unit vector basis, and \(L_p\), \(1<p<\infty\), with the Haar system. The talk is based on a joint work with Pavlos Motakis.