S.G. Krein's conjecture on dissipative two-point boundary value problems

A two-point boundary value problem (BVP) for an ordinary differential operator is called dissipative when its associated operator is dissipative, and Birkhoff-regular when its boundary conditions satisfy the Birkhoff regularity conditions. S.G. Krein's conjecture. Every dissipative two-point BVP is Birkhoff-regular. The paper establishes the even-order part of this conjecture and gives sharp estimates for the norms of spectral projectors in the odd-order case; the general statement is not resolved here.