

Algebras in Analysis
September 27, 2019 18:05–19:35, Moscow, Lomonosov Moscow State University, room 1320.






Homological dimensions of Banach spaces
N. T. Nemesh^{} 
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Abstract:
We discuss a new paper "Homological dimensions of Banach spaces" by F. C. Sanchez, J. M. F. Castillo, and R. Garcia. The main result is that the homological dimension of a Hilbert space is infinite. The idea of proof is based on standard methods of Banach geometry and on an adaptation of Yoneda's extension theory to the category of Banach spaces.

