Abstract
In this chapter we study the injective norm for tensor products. The injective tensor product gives a representation of Banach spaces of continuous vector valued functions and injective tensor products with L 1 (μ) spaces provide an introduction to the Pettis integral. The duality theory of injective tensor products leads to the introduction of the important classes of integral bilinear forms and operators.
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© 2002 Springer-Verlag London
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Ryan, R.A. (2002). The Injective Tensor Product. In: Introduction to Tensor Products of Banach Spaces. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-4471-3903-4_3
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DOI: https://doi.org/10.1007/978-1-4471-3903-4_3
Publisher Name: Springer, London
Print ISBN: 978-1-84996-872-0
Online ISBN: 978-1-4471-3903-4
eBook Packages: Springer Book Archive