Functions of perturbed tuples of self-adjoint operators
نویسندگان
چکیده
منابع مشابه
Functions of Perturbed Tuples of Self-adjoint Operators
Abstract. We generalize earlier results of [2], [3], [6], [13], [14] to the case of functions of n-tuples of commuting self-adjoint operators. In particular, we prove that if a function f belongs to the Besov space B ∞,1(R ), then f is operator Lipschitz and we show that if f satisfies a Hölder condition of order α, then ‖f(A1 · · · , An)− f(B1, · · · , Bn)‖ ≤ constmax1≤j≤n ‖Aj −Bj‖ α for all n...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2012
ISSN: 1631-073X
DOI: 10.1016/j.crma.2012.04.010