AbstractIdeas and techniques from nonstandard theories of measure spaces and Banach spaces are brought together to give a further study of nonstandard vector measures. An integration theory of real valued functions with respect to Banach space valued measures is developed. Geometric properties of nonstandard hulls are also investigated. Some applications are given
In this diploma thesis I introduce the concept of Lebesgue measure on the set of real numbers and sh...
Includes bibliographical references.The theory of Lebesgue integration is a more satisfactory theory...
A new notion of the basic measure is introdused. The vector-valued measures which are basic measures...
We describe an extension of the Bochner integral. Bochner integrable functions can be approximated b...
One of the major characterizations for a real valued function to be Riemann integrable is that the f...
The presentation’s topic is related to analysis on nonnormed and/or nonmetriz-able locally convex sp...
In this dissertation we study the representation of standard measures and contents via Loeb measures...
A breakthrough approach to the theory and applications of stochastic integration The theory of stoch...
summary:We study integration of Banach space-valued functions with respect to Banach space-valued me...
This paper deals with the theory of integration of scalar functions with respect to a measure with v...
This book deals with topics on the theory of measure and integration. It starts with discussion on t...
Non-Additive Measure and Integral is the first systematic approach to the subject. Much of the addit...
AbstractWe present a domain-theoretic framework for measure theory and integration of bounded real-v...
Problems of the integration of non-negative functions on non-negative non-additive measures and the ...
We collect several open questions in Banach spaces, mostly related to measure theoretic aspects of t...
In this diploma thesis I introduce the concept of Lebesgue measure on the set of real numbers and sh...
Includes bibliographical references.The theory of Lebesgue integration is a more satisfactory theory...
A new notion of the basic measure is introdused. The vector-valued measures which are basic measures...
We describe an extension of the Bochner integral. Bochner integrable functions can be approximated b...
One of the major characterizations for a real valued function to be Riemann integrable is that the f...
The presentation’s topic is related to analysis on nonnormed and/or nonmetriz-able locally convex sp...
In this dissertation we study the representation of standard measures and contents via Loeb measures...
A breakthrough approach to the theory and applications of stochastic integration The theory of stoch...
summary:We study integration of Banach space-valued functions with respect to Banach space-valued me...
This paper deals with the theory of integration of scalar functions with respect to a measure with v...
This book deals with topics on the theory of measure and integration. It starts with discussion on t...
Non-Additive Measure and Integral is the first systematic approach to the subject. Much of the addit...
AbstractWe present a domain-theoretic framework for measure theory and integration of bounded real-v...
Problems of the integration of non-negative functions on non-negative non-additive measures and the ...
We collect several open questions in Banach spaces, mostly related to measure theoretic aspects of t...
In this diploma thesis I introduce the concept of Lebesgue measure on the set of real numbers and sh...
Includes bibliographical references.The theory of Lebesgue integration is a more satisfactory theory...
A new notion of the basic measure is introdused. The vector-valued measures which are basic measures...
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