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- W2608187440 abstract "AbstractLet V be a finite dimensional complex vector space, and for each positive integer n let denote the vector space whose elements are the complex valued symmetric n-linear functions on (n-copies). If , that is, f is a linear functional on V, then we define the symmetric n-linear function by for all . It is well known that the elements , known as polar elements, span . A basis for consisting entirely of polar elements is a polar basis. We present a surprisingly simple recursive algorithm for the generation of polar bases. Explicit stand alone formulas for polar bases are also presented. One such explicit basis is so natural that it should probably be called the canonical polar basis for . We introduce the notion of subspace filter and show that each subspace filter of order n provides polar bases for all of the spaces simultaneously, and we extend this result to the entire symmetric algebra ." @default.
- W2608187440 created "2017-05-05" @default.
- W2608187440 creator A5009257538 @default.
- W2608187440 date "2017-04-24" @default.
- W2608187440 modified "2023-10-16" @default.
- W2608187440 title "Subspace filters and polar bases for spaces of symmetric multilinear functions" @default.
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- W2608187440 doi "https://doi.org/10.1080/03081087.2017.1316353" @default.
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