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# ðŸ“™ Jordan Decompositions of Generalized Vector Measures by K.D. Schmidt â€” free pdf

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This ``research note'' looks at the Jordan decomposition of vector measures from a Boolean ring into a Riesz space or Banach lattice. The treatment is relatively self-contained. The author uses a common approach to the Jordan decomposition of vector measures and linear operators, allowing a smoother application of the general results to order-bounded vector measures and linear operators in a Riesz space. It also presents the first unified treatment of the Jordan decomposition on norm-bounded vector measures and linear operators in a Banach lattice. Incidentally, these general results are also applicable to the problem of developing a satisfactory measure theory on systems of fuzzy sets. In general, this research note demonstrates that additive functions on a commutative clan provide a useful tool for unifying and extending parts of measure and operator theory.

## About book:

## About file:

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- Series:
**Pitman Research Notes in Mathematics** - Author:
**K.D. Schmidt** - Year:
**1989** - Publisher:
**Wiley** - Language:
**English** - ISBN:
**0470214759,9780470214756**

- File size:
**5 595 367** - Format:
**pdf**

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This volume is a thorough and comprehensive treatise on vector measures. The functions to be integrated can be either [0,infinity]- or real- or complex-valued and the vector measure can take its values in arbitrary locally convex Hausdorff spaces. Moreove...

This volume contains a selection of articles on the theme "vector measures, integration and applications" together with some related topics. The articles consist of both survey style and original research papers, are written by experts in theÂ area and pre...

An elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measu...

This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra o...

In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in B...

In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in B...

Unmatched in its coverage of the topic, the first edition of GENERALIZED VECTOR AND DYADIC ANALYSIS helped revolutionize the treatment of boundary-value problems, establishing itself as a classic in the field. This expanded, revised edition is the most co...

In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in B...

The English translation of the new and expanded version of Bourbaki's "AlgÃ¨bre", Chapters 4 to 7 completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rat...