✦ LIBER ✦

Contents: Math. Nachr. 3/2009

Book ID: 102495112
Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 72 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200910739

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we combine results on extensions of operators with recent results on the relation between the M -function and the spectrum, to examine the spectral behaviour of boundary value problems. M -functions are defined for general closed extensions, and associated with realisations of elliptic operators. In particular, we consider both ODE and PDE examples where it is possible for the operator to possess spectral points that cannot be detected by the M -function.

📜 SIMILAR VOLUMES

Contents: Math. Nachr. 9/2009

📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 77 KB

We consider the Dirichlet problem for non-divergence parabolic equation with discontinuous in t coefficients in a half space. The main result is weighted coercive estimates of solutions in anisotropic Sobolev spaces. We give an application of this result to linear and quasi-linear parabolic equation

Contents: Math. Nachr. 1/2009

📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 126 KB

Generalization of the B \* -algebra (C 0 (X), ∞ ) We give a generalization of the Stone-Weierstrass property for subalgebras of C(X), with X a completely regular Hausdorff space. In particular, we study in this paper some subalgebras of C 0 (X), with X a locally compact Hausdorff space, provided wi

Contents: Math. Nachr. 2/2009

📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 66 KB

We give starlike criteria for a class of rational mappings on the open unit ball of a complex Banach space. We also give a sufficient condition for these mappings to be convex when they are defined in Hilbert spaces. These criteria facilitate the construction of concrete examples of starlike and con

Contents: Math. Nachr. 4/2009

📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 74 KB

The spectrum of the two-dimensional Schrödinger operator with strong magnetic field and electric potential is contained in a union of intervals centered on the Landau levels. The study of the spectrum in any of these intervals is reduced by unitary equivalence to the study of a one-dimensional opera

Contents: Math. Nachr. 5/2009

📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 71 KB

Contents: Math. Nachr. 6/2009

📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 76 KB

## Projective modules over polynomial rings: a constructive approach We give a constructive proof of the fact that finitely generated projective modules over a polynomial ring with coefficients in a Prüfer domain R with Krull dimension ≤ 1 are extended from R. In particular, we obtain constructive