## Glas :## Re: [glas] vector space, banach space and hilbert space concepts |

**From:** Karl Meerbergen (*Karl.Meerbergen_at_[hidden]*)

**Date:** 2005-04-12 07:28:58

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Hi,

There is also need for another concept required by methods that use

pseudo inner products. For example, the dot-product of complex vectors

is not an inner product since x^T * x is not real (in general). Such

products are used in linear system and eigenvalue solvers of complex

symmetric matrices. The inner product herm(x)*x is not used in such

methods. This could lead to a PseudoHilbertSpace concept.

Comments?

Karl

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