6 edition of **Positive operators and semigroups on Banach lattices** found in the catalog.

- 205 Want to read
- 11 Currently reading

Published
**1992**
by Boston, Kluwer Academic Publishers in Dordrecht
.

Written in English

- Positive operators -- Congresses,
- Semigroups of operators -- Congresses,
- Banach lattices -- Congresses

**Edition Notes**

Other titles | Acta applicandae mathematicae. |

Statement | edited by C.B. Huijsmans and W.A.J. Luxemburg. |

Contributions | Huijsmans, C. B., Luxemburg, W. A. J., 1929-, Caribbean Mathematics Foundation. |

Classifications | |
---|---|

LC Classifications | QA329.2 .P67 1992 |

The Physical Object | |

Pagination | vii, 152 p. : |

Number of Pages | 152 |

ID Numbers | |

Open Library | OL1723201M |

ISBN 10 | 0792319648 |

LC Control Number | 92026747 |

OCLC/WorldCa | 26403263 |

Pris: kr. Häftad, Skickas inom vardagar. Köp Operator Theory in Function Spaces and Banach Lattices av C B Huijsmans, M A Kaashoek, W A J Luxemburg, Ben De Pagter på In this paper, we provide a sublinear function p on ordered Banach spaces, which depends on the order structure of the space. With respect to this p, we study the relation between p-contractivity of positive semigroups and the p-dissipativity of its generators. The positive off-diagonal property of generators is also studied in ordered vector spaces.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus. + we denote the set of positive bounded operators and the set of positive linear forms on E, respectively. If Eis a Banach lattice we write _and ^for the lattice operations sup and inf. As usual we denote by x +;x and jxjthe positive part, the negative part, and the modulus of atwithE, E0is also a Banach lattice with positive cone E0.

Next, we confine these abstract results to positive semigroups on Banach lattices with a quasi-interior point. In that situation, the said criteria are intimately linked to so-called AM-compact operators (which entail kernel operators and compact operators); and they imply that the original semigroup asymptotically embeds into a compact group. We develop a systematic theory of eventually positive semigroups of linear operators mainly on spaces of continuous functions. By eventually positive we mean that for every positive initial condition the solution to the corresponding Cauchy problem is positive for large enough time. Characterisations of such semigroups are given by means of resolvent properties of the generator and Perron.

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Positive Operators and Semigroups on Banach Lattices: Proceedings of a Caribbean Mathematics Foundation Conference Reprinted from `ACTA APPLICANDAE MATHEMATICAE', 27/, Edition by C.B. Huijsmans (Editor), Wilhelm A.J. Luxemburg (Editor) ISBN. Introduction During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in Positive operators and semigroups on Banach lattices book theory of positive operators and the theory of semigroups of positive operators.

During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators.

In particular, the recent investigations in the structure of the lattice ordered. During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive by: 1.

Recently, some new results on asymptotic behaviour of positive operators in Banach lattices were obtained. Here we discuss some open problems related to these results.

Operator Theory in Function Spaces and Banach Lattices by C. Huijsmans,available at Book Depository with free delivery worldwide. A first attempt to develop a unified theory of eventually positive C0-semigroups was subsequently made by the current authors in, providing some spectral results on Banach lattices and a characterisation of eventually strongly positive semigroups on C(K)-spaces with Kcompact.

The current paper has two principal aims. The first part of the book, which should be regarded as an extended reference section, presents a survey of the results from functional analysis, the theory of positive operators and the theory of semigroups that are needed for the second, applied part of the book; worked examples are provided to help absorb the theoretical material.

(,) becomes a Banach lattice with the pointwise order ≤:⇔ ∀ ∈: ≤ (). Properties. The continuous dual space of a Banach lattice is equal to its order dual. See also. Banach space; Normed vector lattice. Main One-parameter Semigroups of Positive Operators One-parameter Semigroups of Positive Operators Wolfgang Arendt, Annette Grabosch, Günther Greiner, Ulrich Moustakas, Rainer Nagel, Ulf Schlotterbeck, Ulrich Groh, Heinrich P.

Lotz, Frank Neubrander (auth.), Rainer Nagel (eds.). If the ordered vector space Xis also a lattice, it is called a vector lattice, or a Riesz space.

The set X + = fx2X; x 0gis referred to as the positive cone of X. Example A convex cone in a vector space Xis a set Ccharacterised by the properties: (i) C+ CˆC; (ii) CˆCfor any 0; (iii) C\(C) = f0g.

We show that X + is a convex cone in X. One-parameter Semigroups of Positive Operators Wolfgang Arendt, Annette Grabosch, Günther Greiner, Ulrich Groh, Heinrich P. Lotz, Ulrich Moustakas, Frank Neubrander, Ulf Schlotterbeck, Rainer Nagel, Rainer Nagel. *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. The special cases of Banach lattices, order-unit spaces, and base-norm spaces, are also examined. Second we develop the theory of positive strongly continuous semigroups on ordered Banach spaces.

Search within book. Front Matter. Pages I-X. PDF. Basic results on banach lattices and positive operators. Rainer Nagel, Ulf Schlotterbeck. Pages Spectral theory of positive semigroups on banach lattices.

Günther Greiner. Pages Asymptotics of positive semigroups on banach lattices. Wolfgang Arendt, Annette Grabosch. The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces.

It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem. It also treats the spectral theory of. IRREDUCIBLE SEMIGROUPS OF POSITIVE OPERATORS ON BANACH LATTICES NIUSHAN GAO AND VLADIMIR G.

TROITSKY Abstract. The classical Perron-Frobenius theory asserts that an irreducible ma-trix A has cyclic peripheral spectrum and its spectral radius r(A) is an eigenvalue corresponding to a positive eigenvector. In [Rad99, RR00], this was extended to semi.

of generators of some positive semigroups in Banach lattices can not be generalized to general ordered Banach spaces.

This note is concerned with a property, found by Ando (unpublished note) and Nagel-Uhlig [3], of an ordered Banach space B equipped with a closed and proper positiv+.e con Thee By have proved that. This book is mainly concerned with the theory of Banach lattices and with linear operators defined on, or with values in Banach lattices.

Moreover we will always consider more general classes of Riesz spaces so long as this does not involve more complicated constructions or proofs. Positive Operators and Semigroups on Banach Lattices. Add tags for "Positive operators and semigroups on Banach lattices: proceedings of a Caribbean Mathematics Foundation conference, ".

Be the first. Similar Items. Differentiable semigroups. A strongly continuous semigroup T is called eventually differentiable if there exists a t 0 > 0 such that T(t 0)X⊂D(A) (equivalently: T(t)X ⊂ D(A) for all t ≥ t 0) and T is immediately differentiable if T(t)X ⊂ D(A) for all t > Every analytic semigroup is immediately differentiable.

An equivalent characterization in terms of Cauchy problems is the.The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications.

It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory.discuss the case of positive operators and semigroups on Banach lattices, referring the reader to, e.g., Nagel (ed.) [] or the recent monograph of Emel’yanov [75] for this topic.

We also tried to minimise overlap with the monographs of van Neer-ven [] on asymptotics in the continuous case and M¨uller [] in the discrete case.