A Banach space C

Prelegent(ci)

Damian Głodkowski

Afiliacja

University of Warsaw

Termin

18 maja 2022 16:15

Pokój

p. 4420

Tytuł w języku angielskim

K) reading the dimension of

Seminarium

Seminarium „Topologia i teoria mnogości”

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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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