𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Evolution operators generated by non-densely defined operators

✍ Scribed by Hirokazu Oka; Naoki Tanaka

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
174 KB
Volume
278
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper it is shown that an evolution operator is generated by a family of closed linear operators whose common domain is not necessarily dense in the underlying Banach space, under the stability condition proposed by the second author from the viewpoint of finite difference approximations. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

On Krein's Formula in the Case of Non-de
On Krein's Formula in the Case of Non-densely Defined Symmetric Operators
✍ Sergey Belyi; Govind Menon; Eduard Tsekanovskii πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 146 KB

In this paper we provide some additional results related to Krein's resolvent formula for a non-densely defined symmetric operator. We show that coefficients in Krein's formula can be expressed in terms of analogues of the classical von Neumann formulas. The relationship between two Weyl-Tichmarsh m

Generalized Vertex Algebras Generated by
Generalized Vertex Algebras Generated by Parafermion-Like Vertex Operators
✍ Yongcun Gao; Haisheng Li πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 231 KB

It is proved that for any vector space W, any set of parafermion-like vertex operators on W in a certain canonical way generates a generalized vertex algebra in the sense of Dong and Lepowsky with W as a natural module. As an application, generalized vertex algebras are constructed from the Lepowsky

A characterization theorem for the evolu
A characterization theorem for the evolution semigroup generated by the sum of two unbounded operators
✍ Giovanni Frosali; Cornelis V. M. van der Mee; Francesco Mugelli πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 148 KB πŸ‘ 1 views

## Abstract We consider a class of abstract evolution problems characterized by the sum of two unbounded linear operators __A__ and __B__, where __A__ is assumed to generate a positive semigroup of contractions on an L^1^‐space and B is positive. We study the relations between the semigroup generat