Products of projections and self-adjoint operators
نویسندگان
چکیده
منابع مشابه
5: Inner Products, Adjoints, Spectral Theorems, Self-adjoint Operators
Lemma 1.2 (An Eigenvector Basis Diagonalizes T ). Let V be an n-dimensional vector space over a field F, and let T : V → V be a linear transformation. Suppose V has an ordered basis β := (v1, . . . , vn). Then vi is an eigenvector of T with eigenvalue λi ∈ F, for all i ∈ {1, . . . , n}, if and only if the matrix [T ]ββ is diagonal with [T ] β β = diag(λ1, . . . , λn). Lemma 1.3. Let V be a fini...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2018
ISSN: 0024-3795
DOI: 10.1016/j.laa.2018.05.036