K) reading the dimension of

Speaker(s)

Damian Głodkowski

Affiliation

University of Warsaw

Date

May 18, 2022, 4:15 p.m.

Room

room 4420

Title in Polish

A Banach space C

Seminar

Topology and Set Theory Seminar

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We show that if Jensen's diamond principle holds, then for every natural number n there is a compact space K, such that whenever L is compact space and the Banach spaces of continuous functions C(K) and C(L) are isomorphic, the covering dimension of L is equal to n. The constructed space K is a separable connected compact space with the property that every linear bounded operator T on C(K) is a weak multiplication i.e. it is of the form T=g*Id+S, where g is an element of C(K) and S is weakly compact.

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