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- https://doi.org/10.1007/bf02759799
On series in linear topological spaces
- Mar 1, 1963
- Israel Journal of Mathematics
- Aryeh Dvoretzky
Abstract
The main result is that in every complete locally-bounded linear topological space there exist series which are unconditionally yet not absolutely convergent. Relations between absolute, unconditional and metric convergence of series are studied.
- # Absolute Convergence
- # Linear Topological Space
- # Convergence Of Series
- # Main Result
- # Unconditional Convergence
- # Linear Space
- # Topological Space
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