Ukrainian Mathematical Journal

, Volume 49, Issue 8, pp 1158–1168 | Cite as

On absolute, perfect, and unconditional convergences of double series in Banach spaces

  • M. I. Kadets


We prove that, in the case of double series, perfect and unconditional convergences coincide, while absolute and perfect convergences do not coincide even for numerical series.


Banach Space Compact Operator Convergent Series Converse Statement Double Series 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • M. I. Kadets

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