منابع مشابه
Lipschitz Functions of Perturbed Operators
We prove that if f is a Lipschitz function on R, A and B are self-adjoint operators such that rank(A − B) = 1, then f(A) − f(B) belongs to the weak space S1,∞, i.e., sj(A − B) ≤ const(1 + j). We deduce from this result that if A − B belongs to the trace class S1 and f is Lipschitz, then f(A) − f(B) ∈ SΩ, i.e., Pn j=0 sj(f(A) − f(B)) ≤ const log(2 + n). We also obtain more general results about ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1985
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1985-0787884-4