On Absolutely Nonmeasurable Additive Functions
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| 024 | 7 | 0 | |a 10.1515/GMJ.2004.301 |2 doi |
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| 100 | 1 | |a Kharazishvili |D A. |u I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0143, Georgia. E-mail: kharaz@saba.edu.ge | |
| 245 | 1 | 0 | |a On Absolutely Nonmeasurable Additive Functions |h [Elektronische Daten] |c [A. Kharazishvili] |
| 520 | 3 | |a It is shown, under Martin's Axiom, that there exist absolutely nonmeasurable additive functions. Starting with this fact, a generalization of the well-known result of Pelc and Prikry (Proc. Amer. Math. Soc. 89: 608-610, 1983) is obtained. Some related questions concerning the measurability of additive functions are also discussed. | |
| 540 | |a © Heldermann Verlag | ||
| 690 | 7 | |a Lebesgue measure |2 nationallicence | |
| 690 | 7 | |a additive function |2 nationallicence | |
| 690 | 7 | |a extension of measure |2 nationallicence | |
| 690 | 7 | |a absolutely nonmeasurable function |2 nationallicence | |
| 773 | 0 | |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 11/2(2004-06), 301-306 |x 1072-947X |q 11:2<301 |1 2004 |2 11 |o GMJ | |
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| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Kharazishvili |D A. |u I. Vekua Institute of Applied Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0143, Georgia. E-mail: kharaz@saba.edu.ge | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 11/2(2004-06), 301-306 |x 1072-947X |q 11:2<301 |1 2004 |2 11 |o GMJ | ||
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