5 citations · 7 across the 5 of their papers we have counts for
6 papers
The norm attainment problem for functions of projections
Albrecht Böttcher, Ilya M. Spitkovsky
The paper is concerned with the problem of identifying the norm attaining operators in the von Neumann algebra generated by two orthogonal projections on a Hilbert space. This alge…
Representing integers by multilinear polynomials
Albrecht Boettcher, Lenny Fukshansky
Let be a homogeneous polynomial in variables of degree with integer coefficients so that its degree in every variable is equal to …
Norms of Toeplitz Matrices with Fisher-Hartwig Symbols
Albrecht Boettcher, Jani Virtanen
We describe the asymptotics of the spectral norm of finite Toeplitz matrices generated by functions with Fisher-Hartwig singularities as the matrix dimension goes to infinity. In t…
From Toeplitz Eigenvalues through Green's Kernels to Higher-Order Wirtinger-Sobolev Inequalities
A. Boettcher, H. Widom
The paper is concerned with a sequence of constants which appear in several problems. These problems include the minimal eigenvalue of certain positive definite Toeplitz matrices,…
Two Elementary Derivations of the Pure Fisher-Hartwig Determinant
Albrecht Boettcher, Harold Widom
We present two elementary derivations of the formula for the Toeplitz determinant generated by a pure Fisher-Hartwig singularity.
One more proof of the Borodin-Okounkov formula for Toeplitz determinants
A. Boettcher
Recently, Borodin and Okounkov established a remarkable identity for Toeplitz determinants. Two other proofs of this identity were subsequently found by Basor and Widom, who also e…