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The Reciprocal Schur Inequality
Albrecht Boettcher, Stephan Ramon Garcia, Mishko Mitkovski
Schur's inequality states that the sum of three special terms is always nonnegative. This note is a short review of inequalities for the sum of the reciprocals of these terms and o…
Robert Sheckley\s Answerer for two orthogonal projections
Albrecht Boettcher, Ilya Spitkovsky
This paper is the written version of our talk (presented by the second author) at the IWOTA in Chemnitz in August 2017. The meta theorem of the paper is that Halmos' two projection…
Toeplitz determinants with perturbations in the corners
Albrecht Boettcher, Lenny Fukshansky, Stephan Ramon Garcia +1
The paper is devoted to exact and asymptotic formulas for the determinants of Toeplitz matrices with perturbations by blocks of fixed size in the four corners. If the norms of the…
On the Eigenvalues of Certain Canonical Higher-Order Ordinary Differential Operators
Albrecht Boettcher, Harold Widom
We consider the operator of taking the th derivative of a function with zero boundary conditions for the function and its first derivatives at two distinct points. Our ma…
On the determinant formulas by Borodin, Okounkov, Baik, Deift, and Rains
A. Boettcher
We give alternative proofs to (block case versions of) some formulas for Toeplitz and Fredholm determinants established recently by the authors of the title. Our proof of the Borod…