contact us

Estimates for the Green Function of a General Sturm-Liouville Operator and Their Applications

Proceedings of the American Mathematical Society / v.127 no.5. 1999, pp.1413-1426

Author : Chernyavskaya, N. ; Shuster, L.

Abstract : For a general Sturm-Liouville operator with nonnegative coefficients, we obtain two-sided estimates for the Green function, sharp by order on the diagonal.

Keyword : Primary 34B27

An Elementary Proof of the Principle of Local Reflexivity

We give an elementary proof of the principle of local reflexivity.

A Dauns-Hofmann Theorem for Taf-Algebras

Let A be a TAF-algebra, Z(A) the centre of A, Id(A) the ideal lattice of A, and Mir(A) the sp..

Hyperinvariant Subspaces of Operators with Non-Vanishing Orbits

It is shown that if the Banach space operator T has regular norm-sequence, its vector orbits ..

Controlling and Supporting Sets in Operator Algebras

Two properties of subspaces of Banach algebras are introduced. These are closely related to M..

Isoperimetric Curves on Hyperbolic Surfaces

Least-perimeter enclosures of prescribed area on hyperbolic surfaces are characterized.

Remarks on Commuting Exponentials in Banach Algebras

Suppose that a and b are elements of a complex unital Banach algebra such that the spectra of..

Semi-Invariants and Weights of Group Algebras of Finite Groups

We study the semi-invariants and weights of a group algebra K[G] over a field K of characteri..

Degenerations for Modules Over Representation-Finite Algebras

Let A be a representation-finite algebra. We show that a finite dimensional A-module M degene..

On Covering Multiplicity

Let A = {a $_{s}$ + n $_{s}{\Bbb Z}$ } $_{s=1}^{k}$ be a system of arithmetic sequences..

A Simple Proof of a Curious Congruence by Sun

In this note, we give a simple and elementary proof of the following curious congruence which..