Edward F. Redish
A familiar example of a linear space is our everyday 3-dimensional Cartesian space of position vectors. In class, we've discussed several examples of linear spaces where the "vectors" are functions and not strictly magnitudes-and-direction vectors like , etc. Give an example of a function vector space and compare and contrast it to Cartesian space. Include in your discussion the concepts of basis vector, orthonormality, and completeness. Note: This is an essay question. Your answer will be judged not solely on its correctness, but for its depth, coherence, and clarity.
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Last revision 2. December, 2005.