Appendix To Limits For Partial Maxima Of Gaussian Random Vectors

2019/02/07 by James Kuelbs, Kuelbs, James, Joel Zinn +1
Economics, Econometrics and Finance · Mathematics · #60F15 (Primary) #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and financial applications #advanced mathematical theories #math.PR #msc:60F15

paper · pdf · doi:10.48550/arxiv.1902.02819

11 pages

arxiv created 2019/02/07 · openalex publication_date 2019/02/07 · arxiv updated 2019/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This appendix provides a short proof for sample path continuity of the Brownian motion induced by an arbitrary centered Gaussian measure on a separable Banach space, and also some perturbation results for the spectrum of compact self-adjoint operators on a Hilbert space.

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