Representation of Extendible Bilinear Forms

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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Representation of Extendible Bilinear Forms

Abstract: Abstract. We show that extendible bilinear forms can be represented in an integral form. The representation requires the use of bimeasures. We then study some properties of these extendible bilinear forms and see how they are related to the Grothendieck inequality.

Cited by 2 publications

References 11 publications

Performance and Security Evaluations of Identity- and Pairing-Based Digital Signature Algorithms on Windows, Android, and Linux Platforms: Revisiting the Algorithms of Cha and Cheon, Hess, Barreto, Libert, Mccullagh and Quisquater, and Paterson and Schuldt

Performance and Security Evaluations of Identity- and Pairing-Based Digital Signature Algorithms on Windows, Android, and Linux Platforms: Revisiting the Algorithms of Cha and Cheon, Hess, Barreto, Libert, Mccullagh and Quisquater, and Paterson and Schuldt

On extensions of bilinear maps

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