A bilinear Orlicz-Pettis theorem (Q847783)
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scientific article; zbMATH DE number 5673283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bilinear Orlicz-Pettis theorem |
scientific article; zbMATH DE number 5673283 |
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A bilinear Orlicz-Pettis theorem (English)
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19 February 2010
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The main issue of the paper under review is to extend and adjust the governing results from \textit{O. Blasco, J. M. Calabuig} and \textit{T. Signes} [J. Math. Anal. Appl. 348, No. 1, 150--164 (2008; Zbl 1161.46005)] to the setting of locally convex spaces. This leads to Orlicz-Pettis Theorems for multiplier convergent series and bilinear operators between locally convex spaces. A fundamental tool is the Antosik-Mikusinski Matrix Theorem.
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Orlicz-Pettis Theorem
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multiplier convergent series
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bilinear operators
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signed weak gliding hump property
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