Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Integral, Measure, and Ordering
.
Bookmark this Record
Catalogue Record 47469
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 47469
.
Reviews
Catalogue Record 47469
.
British Library
Resolver for RSN-47469
Google Scholar
Resolver for RSN-47469
WorldCat
Resolver for RSN-47469
Catalogo Nazionale SBN
Resolver for RSN-47469
GoogleBooks
Resolver for RSN-47469
ICTP Library
Resolver for RSN-47469
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
515.42
Title
Integral, Measure, and Ordering ([EBook] /) / by Beloslav Riečan, Tibor Neubrunn.
Author
Riečan, Beloslav
Added Personal Name
Neubrunn, Tibor
author.
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1997.
Physical Details
XIII, 378 p. : online resource.
Series
Mathematics and its applications
; 411
ISBN
9789401589192
Summary Note
The present book is a monograph including some recent results of mea sure and integration theory. It concerns three main ideas. The first idea deals with some ordering structures such as Riesz spaces and lattice or dered groups, and their relation to measure and integration theory. The second is the idea of fuzzy sets, quite new in general, and in measure theory particularly. The third area concerns some models of quantum mechanical systems. We study mainly models based on fuzzy set theory. Some recent results are systematically presented along with our suggestions for further development. The first chapter has an introductory character, where we present basic definitions and notations. Simultaneously, this chapter can be regarded as an elementary introduction to fuzzy set theory. Chapter 2 contains an original approach to the convergence of sequences of measurable functions. While the notion of a null set can be determined uniquely, the notion of a set of "small" measure has a fuzzy character. It is interesting that the notion of fuzzy set and the notion of a set of small measure (described mathematically by so-called small systems) were introduced independently at almost the same time. Although the axiomatic systems in both theories mentioned are quite different, we show that the notion of a small system can be considered from the point of view of fuzzy sets.:
Contents note
1 Sets and fuzzy sets -- 2 Null sets and small systems -- 3 Measures on ordered spaces -- 4 Subadditive measures -- 5 The Kurzweil integral in ordered spaces -- 6 Quantum logics -- 7 Fuzzy-quantum spaces -- 8 Fuzzy quantum logics -- 9 Probability on MV algebras -- 10 The entropy of fuzzy dynamical systems -- 11 Measurability and integrability of multifunctions -- Appendix A D-posets (Ferdinand Chovanec, Frantisek Kôpka) -- A.1 Difference posets -- A.2 Difference lattices -- A.3 Compatibility in D-posets -- A.4 States and observables on D-posets -- A.5 Ideals in D-posets -- Notes and comments -- Appendix B Notes on order convergence and order topology (Hana Kirchheimová, Zdenka Rie?anová) -- B.1 Order convergence of nets and filters in partially ordered sets and their MacNeille completions -- B.2 Order topology and order topological lattices in language of filters and nets -- B.3 Metric modular ortholattices -- Problems -- Notes and comments -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-94-015-8919-2
Links to Related Works
Subject References:
Algebra
.
Applications of Mathematics
.
Applied mathematics
.
Engineering mathematics
.
Mathematical logic
.
Mathematical Logic and Foundations
.
Mathematics
.
Measure and Integration
.
Measure theory
.
Order, Lattices, Ordered Algebraic Structures
.
Ordered algebraic structures
.
Probabilities
.
Probability theory and stochastic processes
.
Authors:
Neubrunn, Tibor
.
Riečan, Beloslav
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Mathematics and its applications
.
Classification:
515.42
.
.
ISBD Display
Catalogue Record 47469
.
Tag Display
Catalogue Record 47469
.
Related Works
Catalogue Record 47469
.
Marc XML
Catalogue Record 47469
.
Add Title to Basket
Catalogue Record 47469
.
Catalogue Information 47469
Beginning of record
.
Catalogue Information 47469
Top of page
.
Download Title
Catalogue Record 47469
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
47469
1
47469
-
2
47469
-
3
47469
-
4
47469
-
5
47469
-
Quick Search
Search for