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. In virtue of a concept of the inner product, the linear vector space is given a variety of structures. For instance, introduction of the inner product to the linear vector space immediately leads to the definition of adjoint operators and Gram matrices.
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Hotta, S. (2020). Inner Product Space. In: Mathematical Physical Chemistry. Springer, Singapore. https://doi.org/10.1007/978-981-15-2225-3_13
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DOI: https://doi.org/10.1007/978-981-15-2225-3_13
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