Abstract
We study the extent to which several classical results relating linear or multilinear forms and their zero-sets can be generalised to linear or bilinear operators with values in \({\mathbb {R}}^n\). We find some analogues of the classical theorems, and also some restrictions.
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Acknowledgements
The authors would like to thank Professor Manuel Maestre Vera and Professor Domingo García for their fruitful conversations during the preparation of this document.
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Supported partially by PIP 112 201301 00422 CO (CONICET - Argentina).
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Pinasco, D., Zalduendo, I. Linear and bilinear operators and their zero-sets. Rev Mat Complut 34, 131–149 (2021). https://doi.org/10.1007/s13163-020-00352-0
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DOI: https://doi.org/10.1007/s13163-020-00352-0