Operator Functions and Localization of Spectra

By M. Gil'. 2003

170 citations recorded by the source corpus.

Citations in the corpus

Decay properties for functions of matrices over $C^*$-algebras (2013, unknown): “Related results can also be found in [34] and [60].”
Circuit complexity for coherent states (2018, unknown): “Given the previous result, we can apply the interesting property of Schatten norms that ‖A‖p ≥ ‖A‖q for 1 ≤ p ≤ q ≤ ∞ [65].”
The Excitation Spectrum for Weakly Interacting Bosons in a Trap (2012, unknown): “ 7 we thus have kQ(t+DE−1)−1k = kQ(t+1 +DE−1 −1)−1k ≤ X∞ k=0 kDE−1 −1kk 2 (t+a)k+1 √ k! ≤ √ 2 t+a exp kDE−1 −1k 2 t+a . Here we have used the bound P∞ k=0x k/ √ k! ≤ √ 2ex2 for x≥ 0 (cf. p. 84 in [28]). This yields the desired quantitative bound, and concludes the proof of the boundedness of (61).”