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- W1964693722 abstract "We consider the finite-dimensional Banach spaces ℓ p ( n ), where p>l. On these spaces there is a unique homogeneous semi-inner-product [.,.] consistent with the norm. If p≠2 this semi-inner product is not symmetric. We define a pair of vectors x and y to be biorthogonal if [x, y] = [y, x] = 0. For a given non-zero x, let τ(X) be the number of elements in a maximal linearly independent set of vectors biorthogonal to x. If p = 2 it is well-known that this number is n –1. The aim of this paper is to find τ(X) when p≠2. Our investigation shows that the situation differs from the Euclidean case in that the value of τ(X) can be either n –l or n –2. The ‘exceptional’ vectors x for which τ(x) = n –2 are characterised." @default.
- W1964693722 created "2016-06-24" @default.
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- W1964693722 date "1996-06-01" @default.
- W1964693722 modified "2023-09-25" @default.
- W1964693722 title "Biorthogonality in the banach spaces ℓp(n)" @default.
- W1964693722 cites W2053241748 @default.
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- W1964693722 doi "https://doi.org/10.1017/s001309150002304x" @default.
- W1964693722 hasPublicationYear "1996" @default.
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