On Extensions of Bilinear Maps

C. S. Kubrusly

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arXiv · 2110.03102

On Extensions of Bilinear Maps

C. S. Kubrusly

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Abstract

The paper deals with extension of bounded bilinear maps$.$ It gives a necessary and sufficient condition for extending a bounded bilinear map on the Cartesian product of subspaces of Banach spaces$.$ This leads to a full characterization for extension of bounded bilinear maps on the Cartesian product of arbitrary subspaces of Hilbert spaces$.$ Applications concerning projective tensor products are also investigated.

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BibTeX RIS

C. S. Kubrusly. 2021-10-06. On Extensions of Bilinear Maps. https://arxiv.org/abs/2110.03102

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