Linear Operators and their Spectra

By B. Davies. 2007

579 citations recorded by the source corpus.

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Kernel Mean Embedding of Distributions: A Review and Beyonds (2016, background): “It can be easily shown that the right-hand side does not depend on the choice of orthonormal bases (Davies 2007; Lemma 5.5.1).”
Pseudospectra in non-Hermitian quantum mechanics (2014, methodology): “We are indebted to E. B. Davies and M. Marletta [28] for telling us about this example and for proposing the possibility of the non-invariance of point spectra discussed below.”
Eigenvalues of Non-selfadjoint Operators: A Comparison of Two Approaches (2012, background): “In recent times, starting with work of Abramov, Aslanyan and Davies [1], there has also been an increasing interest in analogs of the L-T-inequalities for nonselfadjoint Schrödinger operators.”
Long Term Risk: A Martingale Approach (2014, unknown): “Davies (2007) Section 7.”
Embeddable Markov Matrices (2010, background): “Theoretical accounts of parts of the subject may be found in [1, 5, 16, 17].”
Time-changed CIR default intensities with two-sided mean-reverting jumps (2014, unknown): “1 of Davies (2007). Here 0 ≤ λβ1 ≤ λβ2 ≤ · · · are arranged in increasing order and repeated according to multiplicity.”