Abstract
This chapter considers basic normed-space aspects of bilinear maps. The first notion is that of a bounded bilinear map, which is shown to coincide with the notion of continuous bilinear maps. The final targets are extension theorems for bounded bilinear maps with norm preservation. As in the previous chapters, all linear spaces (and therefore all normed spaces) are over the same field.
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Kubrusly, C.S. (2023). Bounded Bilinear Maps. In: Bilinear Maps and Tensor Products in Operator Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-031-34093-2_6
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DOI: https://doi.org/10.1007/978-3-031-34093-2_6
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Publisher Name: Springer, Cham
Print ISBN: 978-3-031-34095-6
Online ISBN: 978-3-031-34093-2
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