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

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

**Date:** 2005-03-23 03:01:33

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Hello,

Attached is a tar file with a proposal for vector space, banach space

and hilbert space concepts.

The index.html file gives an overview. We have tried to be as general as

possible using algebraic structures. You may see an important difference

between Matrix and Vector that should be discussed. The Vector concept

allows for a scalar multiplication with a scalar of a different

value_type as the Vector, the Matrix concept does not. An important

advantage I see is that the Vector allows scalar multiplication for

something like vector< vector<T > >.

Please forward me your comments. I am sure there are still errors. Is

anything missing related to VectorSpace, BanachSpace and HilbertSpace?

Thanks to Toon for reading the first draft. Thanks to you for your

contributions,

Have a nice day,

Karl

- application/x-tar attachment: glas.tar

**Next message:**Nigel Nunn: "RE: [glas] vector space, banach space and hilbert space concepts"**Previous message:**Edwards, Harold C: "RE: [glas] multilevel block-matrices"**In reply to:**Karl Meerbergen: "[glas] concepts, algorithms etc"**Next in thread:**Nigel Nunn: "RE: [glas] vector space, banach space and hilbert space concepts"**Maybe reply:**Nigel Nunn: "RE: [glas] vector space, banach space and hilbert space concepts"**Reply:**Kresimir Fresl: "Re: [glas] vector space, banach space and hilbert space concepts"**Reply:**Matthias Troyer: "Re: [glas] vector space, banach space and hilbert space concepts"