✦ LIBER ✦

On the Essential Spectrum of a Class of Operators in Hilbert Space

✍ Scribed by Manfred Möller

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 513 KB
Volume: 194
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19981940112

No coin nor oath required. For personal study only.

✦ Synopsis

Abrtract. Sufficient conditions are given such that the product T1T2 of two unbounded operators in Hilbert spaces is essentially selfadjoint and that the nonzero numbers in the essential spectrum of the closure of TlT2 coincide with the nonzero numbers in the essential spectrum of T2T1. If the essential spectrum of the closure of T2T1 only consists of zero and M ie a bounded operator, then several formulas for the essential spectrum of the closure of T2T1 + M are given.

1991 Mathematics Subject Classification. 47A 10, 47A53.

📜 SIMILAR VOLUMES

Essential Spectrum of a Self-Adjoint Ope

Essential Spectrum of a Self-Adjoint Operator on an Abstract Hilbert Space of Fock Type and Applications to Quantum Field Hamiltonians

✍ Asao Arai 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 200 KB

The Essential Spectrum of Some Matrix Op

The Essential Spectrum of Some Matrix Operators

✍ F. V. Atkinson; H. Langer; R. Mennicken; A. A. Shkalikov 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 718 KB

On a Class of Nonlinear Initial Value Pr

On a Class of Nonlinear Initial Value Problems in Hilbert Spaces

✍ K. Gröger; J. Nečas 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 433 KB

On the essential spectrum of hypoellipti

On the essential spectrum of hypoelliptic pseudo-differential operators

✍ Ernesto Buzano; Andrea Ziggioto 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 239 KB

## Abstract We describe the essential spectrum of a hypoelliptic pseudo‐differential operator which is the sum of a constantcoefficients operator and an operator with coefficients vanishing at infinity. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Spaces of Compact Operators on a Hilbert

Spaces of Compact Operators on a Hilbert Space with the Fixed Point Property

✍ Patrick N. Dowling; Narcisse Randrianantoanina 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 111 KB

Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.

The play operator on the rectifiable cur

The play operator on the rectifiable curves in a Hilbert space

✍ Vincenzo Recupero 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 131 KB

## Abstract The vector play operator is the solution operator of a class of evolution variational inequalities arising in continuum mechanics. For regular data, the existence of solutions is easily obtained from general results on maximal monotone operators. If the datum is a continuous function of