Abstract
In this chapter we study Hilbert spaces, which can be considered as a certain subclass of the class of normed vector spaces. We will define some particular mappings and study their differentiability.
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References
Chojnacki, W.: On Banach algebras which are Hilbert spaces. Ann. Soc. Math. Pol. Ser. I Comment. Mat. Prac. Mat. 20, 279–281 (1978)
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Coleman, R. (2012). Hilbert Spaces. In: Calculus on Normed Vector Spaces. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3894-6_6
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DOI: https://doi.org/10.1007/978-1-4614-3894-6_6
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Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4614-3894-6
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