 |
|
|
Item Details
| Title:
|
HENSTOCK-KURZWEIL INTEGRATION: ITS RELATION TO TOPOLOGICAL VECTOR SPACES
|
| By: |
Jaroslav Kurzweil |
| Format: |
Hardback |
| List price:
|
£62.00 |
|
We currently do not stock this item, please contact the publisher directly for
further information.
|
|
|
|
|
|
| ISBN 10: |
9810242077 |
| ISBN 13: |
9789810242077 |
| Publisher: |
WORLD SCIENTIFIC PUBLISHING CO PTE LTD |
| Pub. date: |
12 April, 2000 |
| Series: |
Series In Real Analysis 7 |
| Pages: |
144 |
| Description: |
An analysis of Henstock-Kurzweil (HK) integration and its relation to topological vector spaces. HK integration is treated only on compact one-dimensional intervals and the set of convergent sequences of HK-integrable functions is singled out by an elementary convergence theorem. |
| Synopsis: |
Henstock-Kurzweil (HK) integration, which is based on integral sums, can be obtained by an inconspicuous change in the definition of Riemann integration. It is an extension of Lebesgue integration and there exists an HK-integrable function f such that its absolute value |f| is not HK-integrable. In this book HK integration is treated only on compact one-dimensional intervals.The set of convergent sequences of HK-integrable functions is singled out by an elementary convergence theorem. The concept of convergent sequences is transferred to the set P of primitives of HK-integrable functions; these convergent sequences of functions from P are called E-convergent. The main results: there exists a topology U on P such that (1) (P,U) is a topological vector space, (2) (P,U) is complete, and (3) every E-convergent sequence is convergent in (P,U). On the other hand, there is no topology U fulfilling (2), (3) and (P,U) being a locally convex space. |
| Publication: |
Singapore |
| Imprint: |
World Scientific Publishing Co Pte Ltd |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
No Cheese, Please!
A fun picture book for children with food allergies - full of friendship and super-cute characters!Little Mo the mouse is having a birthday party.
|
My Brother Is a Superhero
Luke is massively annoyed about this, but when Zack is kidnapped by his arch-nemesis, Luke and his friends have only five days to find him and save the world...
|
|
|
|
|