70 citations · 85 across the 9 of their papers we have counts for
9 papers
From graph to Riesz continuity
Marina Prokhorova
We show that every graph continuous family of unbounded operators in a Hilbert space becomes Riesz continuous after one-sided multiplication by an appropriate family of unitary ope…
The continuity properties of discrete-spectrum families of Fredholm operators
Marina Prokhorova
This note relates the notion of a discrete-spectrum family of Fredholm operators, recently introduced by N. Ivanov in arXiv:2111.15081, with the classical continuity properties in…
Spaces of unbounded Fredholm operators: I. Homotopy equivalences
Marina Prokhorova
This paper is devoted to the space of unbounded Fredholm operators equipped with the graph topology, the subspace of operators with compact resolvent, and their subspaces consistin…
Self-adjoint local boundary problems on compact surfaces. II. Family index
Marina Prokhorova
The paper presents a first step towards a family index theorem for classical self-adjoint boundary value problems. We address here the simplest non-trivial case of manifolds with b…
Self-adjoint local boundary problems on compact surfaces. I. Spectral flow
Marina Prokhorova
The paper deals with first order self-adjoint elliptic differential operators on a smooth compact oriented surface with non-empty boundary. We consider such operators with self-adj…
Homeomorphism criteria for the theory of grid generation
Marina Prokhorova
We give some general criteria of being a homeomorphism for continuous mappings of topological manifolds, as well as criteria of being a diffeomorphism for smooth mappings of smooth…