Restricted invertibility of continuous matrix functions
نویسندگان
چکیده
منابع مشابه
Restricted Invertibility Revisited
Suppose that m,n ∈ N and that A : R → R is a linear operator. It is shown here that if k, r ∈ N satisfy k < r 6 rank(A) then there exists a subset σ ⊆ {1, . . . ,m} with |σ| = k such that the restriction of A to R ⊆ R is invertible, and moreover the operator norm of the inverse A−1 : A(R) → R is at most a constant multiple of the quantity √ mr/((r − k) ∑m i=r si(A) 2), where s1(A) > . . . > sm(...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2022
ISSN: ['1848-9974', '1846-3886']
DOI: https://doi.org/10.7153/oam-2022-16-78