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| 001 | 4611776 | ||
| 003 | RPAM | ||
| 005 | 20160624102311.0 | ||
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| 008 | 140928s1977 riu ob 000 0 eng | ||
| 020 | _a9781470401566 (online) | ||
| 040 |
_aDLC _cDLC _dDLC _dRPAM |
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| 050 | 0 | 0 |
_aQA3 _b.A57 no. 195 _aQA312 |
| 082 | 0 | 0 |
_a510/.8 s _a515/.42 |
| 100 | 1 |
_aGraves, William Howard, _d1940- |
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| 245 | 1 | 0 |
_aOn the theory of vector measures / _h[electronic resource] _cWilliam H. Graves. |
| 260 |
_aProvidence : _bAmerican Mathematical Society, _c1977. |
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| 300 | _a1 online resource (iv, 72 p.) | ||
| 490 | 1 |
_aMemoirs of the American Mathematical Society, _x0065-9266 (print); _x1947-6221 (online); _vv. 195 |
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| 500 | _a"Volume 12, issue 2." | ||
| 504 | _aBibliography: p. 71-72. | ||
| 505 | 0 | 0 |
_t0. Background _t1. Notation, definitions, and introduction _t2. Boundedness in $S^\tau (\mathcal {R})$ _t3. $\beta (S^\tau (\mathcal {R})^*,S(\mathcal {R}))$ is the topology of the variation norm _t4. Uniform strong boundedness and $\tau $-equicontinuity _t5. Buck's $(\ell ^\infty , \beta )$ as an example of $\widehat {S^\tau (\mathcal {R})}$ _t6. An extension theorem _t7. Every $\sigma $-ideal determines a decomposition of $\operatorname {sca}(\mathcal {R},W)$ _t8. $\widehat {S^\tau (\mathcal {R})}$ as a projective limit _t9. $\widehat {S^\tau (\mathcal {R}/\mu )}$ and the Radon-Nikodym theorem _t10. Semi-reflexivity of $\widehat {S^\tau (\mathcal {R})}$ and the range of a vector measure _t11. $\sigma (S^\tau (\mathcal {R})^*, \widehat {S^\tau (\mathcal {R})})$-compactness, the Bartle-Dunford-Schwartz theorem, and Orlicz-Pettis-type theorems _t12. Applications to measure theory for (abstract) Boolean algebras |
| 506 | 1 | _aAccess is restricted to licensed institutions | |
| 533 |
_aElectronic reproduction. _bProvidence, Rhode Island : _cAmerican Mathematical Society. _d2012 |
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| 538 | _aMode of access : World Wide Web | ||
| 588 | _aDescription based on print version record. | ||
| 650 | 0 | _aMeasure theory. | |
| 650 | 0 | _aDuality theory (Mathematics) | |
| 650 | 0 | _aVector-valued measures. | |
| 776 | 0 |
_iPrint version: _aGraves, William Howard, 1940- _tOn the theory of vector measures / _w(DLC) 77012182 _x0065-9266 _z9780821821954 |
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| 786 | _dAmerican mathematical Society | ||
| 830 | 0 |
_aMemoirs of the American Mathematical Society ; _vno. 195. |
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| 856 | 4 |
_3Contents _uhttp://www.ams.org/memo/0195 |
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| 856 | 4 |
_3Contents _uhttp://dx.doi.org/10.1090/memo/0195 |
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| 942 |
_2EBK12648 _cEBK |
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| 999 |
_c41942 _d41942 |
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