| 000 | 02523nam a22004695i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-87565-9 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151929.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 gw | s |||| 0|eng d | ||
| 020 |
_a9783540875659 _9978-3-540-87565-9 |
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| 024 | 7 |
_a10.1007/978-3-540-87565-9 _2doi |
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| 050 | 4 | _aQA312-312.5 | |
| 072 | 7 |
_aPBKL _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 072 | 7 |
_aPBKL _2thema |
|
| 082 | 0 | 4 |
_a515.42 _223 |
| 100 | 1 |
_aRoth, Walter. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 245 | 1 | 0 |
_aOperator-Valued Measures and Integrals for Cone-Valued Functions _h[electronic resource] / _cby Walter Roth. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2009. |
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| 300 |
_aX, 356 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1964 |
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| 505 | 0 | _aLocally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact Spaces. | |
| 520 | _aIntegration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures, whereas suprema and infima are replaced with topological limits in the vector-valued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aFunctional analysis. | |
| 650 | 1 | 4 |
_aMeasure and Integration. _0http://scigraph.springernature.com/things/product-market-codes/M12120 |
| 650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540875901 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540875642 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1964 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-87565-9 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 999 |
_c12371 _d12371 |
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