K. Makarov

activity

19972023

most citedThe Threshold effects for the two-particle Hamiltonians on lattices

112 citations · 315 across the 38 of their papers we have counts for

collaborators

Showing 2010 · math.SPShow all

3 papers · 2 filters

math.SP2010★ 2 cited

Metric properties of the set of orthogonal projections and their applications to operator perturbation theory

Konstantin A. Makarov, Albrecht Seelmann

We prove that the set of orthogonal projections on a Hilbert space equipped with the length metric is $\frac{π}{2}$ -geodesic. As an application, we consider the problem of variation…

math.SP2010★ 8 cited

The TAN $2Θ$ Theorem for Indefinite Quadratic Forms

Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov +1

A version of the Davis-Kahan Tan $2Θ$ theorem [SIAM J. Numer. Anal. \textbf{7} (1970), 1 -- 46] for not necessarily semibounded linear operators defined by quadratic forms is prove…

math.SP2010★ 1 cited

The index formula and the spectral shift function for relatively trace class perturbations

Fritz Gesztesy, Yuri Latushkin, Konstantin A. Makarov +2

We compute the Fredholm index, $ind (D_{A})$ , of the operator $D_{A} = (d / d t) + A$ on $L^{2} (R; H)$ associated with the operator path $\{A(t)\}_{t=-\infty}^{\infty…

Metric properties of the set of orthogonal projections and their applications to operator perturbation theory

The TAN 2Θ Theorem for Indefinite Quadratic Forms

The index formula and the spectral shift function for relatively trace class perturbations

The TAN $2Θ$ Theorem for Indefinite Quadratic Forms