| 000 | 02567nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-45152-5 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101820.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s2003 gw | s |||| 0|eng d | ||
| 020 |
_a9783540451525 _9978-3-540-45152-5 |
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| 024 | 7 |
_a10.1007/b13213 _2doi |
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| 050 | 4 | _aQA329-329.9 | |
| 072 | 7 |
_aPBKF _2bicssc |
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| 072 | 7 |
_aMAT037000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.724 _223 |
| 100 | 1 |
_aHiai, Fumio. _eauthor. |
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| 245 | 1 | 0 |
_aMeans of Hilbert Space Operators _h[electronic resource] / _cby Fumio Hiai, Hideki Kosaki. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2003. |
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| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2003. |
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| 300 |
_aVIII, 156 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 |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1820 |
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| 505 | 0 | _aIntroduction -- Double integral transformations -- Means of operators and their comparison -- Convergence of means -- A-L-G interpolation means Ma -- Heinz-type means Aa -- Binomial means Ba -- Certain alternating sums of operators -- Appendices -- References -- Index. | |
| 520 | _aThe monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aMatrix theory. | |
| 650 | 0 | _aOperator theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aOperator Theory. |
| 650 | 2 | 4 | _aLinear and Multilinear Algebras, Matrix Theory. |
| 700 | 1 |
_aKosaki, Hideki. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540406808 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1820 |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b13213 |
| 942 |
_2EBK1302 _cEBK |
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| 999 |
_c30596 _d30596 |
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