Functions of self-adjoint operators in ideals of compact operators
نویسندگان
چکیده
منابع مشابه
Functions of self-adjoint operators in ideals of compact operators
For self-adjoint operators A,B, a bounded operator J , and a function f : R → C, we obtain bounds in quasi-normed ideals of compact operators for the difference f(A)J − Jf(B) in terms of the operator AJ − JB. The focus is on functions f that are smooth everywhere except for finitely many points. A typical example is the function f(t) = |t|γ with γ ∈ (0, 1). The obtained results are applied to d...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2017
ISSN: 0024-6107
DOI: 10.1112/jlms.12010