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Item Details
| Title:
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PAIRS OF COMPACT CONVEX SETS
FRACTIONAL ARITHMETIC WITH CONVEX SETS |
| By: |
Diethard Pallaschke, Ryszard Urbanski |
| Format: |
Hardback |
| List price:
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£79.99 |
| Our price: |
£43.99 |
| Discount: |
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| You save:
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£36.00 |
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| ISBN 10: |
1402009380 |
| ISBN 13: |
9781402009389 |
| Availability: |
Usually dispatched within 1-2 days.
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| Stock: |
Currently 1item in stock |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
31 October, 2002 |
| Edition: |
2003 ed. |
| Series: |
Mathematics and Its Applications 548 |
| Pages: |
295 |
| Description: |
Deals with the theory of pairs of compact convex sets. This book also talks about the problem of finding different types of minimal representants of a pair of nonempty compact convex subsets of a locally convex vector space in the sense of the Radstrom-Hormander Theory. |
| Synopsis: |
Pairs of compact convex sets arise in the quasidifferential calculus of V.F. Demyanov and A.M. Rubinov as sub- and superdifferentials of quasidifferen- tiable functions (see [26]) and in the formulas for the numerical evaluation of the Aumann-Integral which were recently introduced in a series of papers by R. Baier and F. Lempio (see [4], [5], [10] and [9]) and R. Baier and E.M. Farkhi [6], [7], [8]. In the field of combinatorial convexity G. Ewald et al. [36] used an interesting construction called virtual polytope, which can also be represented as a pair of polytopes for the calculation of the combinatorial Picard group of a fan. Since in all mentioned cases the pairs of compact con- vex sets are not uniquely determined, minimal representations are of special to the existence of minimal pairs of compact importance. A problem related convex sets is the existence of reduced pairs of convex bodies, which has been studied by Chr. Bauer (see [14]). |
| Illustrations: |
XII, 295 p. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Non-returnable |
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