161 citations · 1.1k across the 71 of their papers we have counts for
4 papers · 1 filter
A remark on a paper by Hundertmark and Simon
Ari Laptev, Michael Loss, Lukas Schimmer
We prove a sharp Lieb-Thirring type inequality for Jacobi matrices, thereby settling a conjecture of Hundertmark and Simon. An interesting feature of the proof is that it employs a…
Monotonicity of the period of a non linear oscillator
R. D. Benguria, M. C. Depassier, M. Loss
We revisit the problem of monotonicity of the period function for the differential equation and give a simple proof of recent results of Miyamoto and Yagasaki.
On the Markov sequence problem for Jacobi polynomials
Eric A. Carlen, Jeffrey S. Geronimo, Michael Loss
We give a simple and entirely elementary proof of Gasper's theorem on the Markov sequence problem for Jacobi polynomials. It is based on the spectral analysis of an operator that a…
An Inequality of Hadamard Type for Permanents
Eric Carlen, Elliott H. Lieb, Michael Loss
Let F be an N x N complex matrix whose jth column is the vector f_j in C^N. Let |f_j|^2 denote the sum of the absolute squares of the entries of f_j. Hadamard's inequality for dete…