We study Robin-to-Robin maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains in R, n > 2, with generalized Robin boundary conditions.

We consider the real three-dimensional Euclidean Jordan algebra associated to a strongly regular graph. Then, the Krein parameters of a strongly regular graph are generalized and some generalized Krein admissibility conditions are deduced. Furthermore, we establish some relations between the classical Krein parameters and the generalized Krein parameters.

For linear operators L , T and nonlinear maps P we describe classes of simple F = I ? between Banach Hilbert spaces, for which no point has more than two preimages. The encompass known examples (homeomorphisms, global folds) the weaker, geometric, hypotheses suggest new ones. operator may be Laplacian with various boundary conditions, as in original Ambrosetti-Prodi theorem, or associated quant...

A walk W between two non-adjacent vertices in a graph G is called tolled if the first vertex of W is among vertices from W adjacent only to the second vertex ofW , and the last vertex ofW is among vertices fromW adjacent only to the second-last vertex of W . In the resulting interval convexity, a set S ⊂ V (G) is toll convex if for any two non-adjacent vertices x, y ∈ S any vertex in a tolled w...

In this paper we first describe a new deviation inequality for sums of independent random variables which uses the precise constants appearing in the tails of their distributions, and can reflect in full their concentration properties. In the proof we make use of Chernoff’s bounds. We then apply this inequality to prove a global diameter reduction theorem for abstract families of linear operato...

Given an inclusion D ⊆ C of unital C∗-algebras (with common unit), a unital completely positive linear map Φ of C into the injective envelope I(D) of D which extends the inclusion of D into I(D) is a pseudo-expectation. Pseudo-expectations are generalizations of conditional expectations, but with the advantage that they always exist. The set PsExp(C,D) of all pseudoexpectations is a convex set,...

We analyze a multi-type age dependent model for cell populations subject to unidirectional motion, in both a stochastic and deterministic framework. Cells are distributed into successive layers; they may divide and move irreversibly from one layer to the next. We adapt results on the large-time convergence of PDE systems and branching processes to our context, where the Perron-Frobenius or Krei...

0. Introduction We work over an algebraically closed eld k of characteristic 0. 0.1. Statement. In this paper, we use techniques of toric geometry to reprove the following theorem: Theorem 0.1. Let X be a projective variety of nite type over k, and let Z X be a proper closed subset. Let G Aut k (Z X) be a nite group. Then there is a G-equivariant modii-cation r : X 1 ! X such that X 1 is nonsin...

‎using nehari manifold methods and mountain pass theorem‎, ‎the existence of nontrivial and radially symmetric solutions for a class of $p$-kirchhoff-type system are established.