Abstract
Thus far we have treated the theory of linear vector spaces . The vector spaces, however, were somewhat “structureless,” and so it will be desirable to introduce a concept of metric or measure into the linear vector spaces. We call a linear vector space where the inner product is defined an inner product space.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hassani S (2006) Mathematical physics. Springer, New York
Satake I (1974) Linear algebra. Shokabo, Tokyo (in Japanese)
Riley KF, Hobson MP, Bence SJ (2006) Mathematical methods for physics and engineering, 3rd edn. Cambridge University Press, Cambridge
Dennery P, Krzywicki A (1996) Mathematics for physicists. Dover, New York
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Hotta, S. (2018). Inner Product Space. In: Mathematical Physical Chemistry. Springer, Singapore. https://doi.org/10.1007/978-981-10-7671-8_11
Download citation
DOI: https://doi.org/10.1007/978-981-10-7671-8_11
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-7670-1
Online ISBN: 978-981-10-7671-8
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)