Is there any difference between a vector subspace and a linear manifold.(adsbygoogle = window.adsbygoogle || []).push({});

Paul Halmos in Finite Dimensional Vector Spaces calls them the same thing.

Hamburger and Grimshaw in Linear Trasforms in n Dimensional Vector Space does not use the word subspce at all.

Planet Math says a Linear Manifold is a Linear Subspace possibly moved from the origin ( surely incorrect if it is a vector space ).

I assume the first source is correct, the second just uses a different name and the third is incorrect.

Is this so.

Thanks. Matheeinste

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# Vector Subspace or Linear Manifold.

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