The Norm of a Complex Banach Lattice
Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Bana...
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| Autor*in: |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1997 |
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| Umfang: |
10 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Positivity - 1997, 1(1997) vom: Apr., Seite 381-390 |
| Übergeordnetes Werk: |
volume:1 ; year:1997 ; month:04 ; pages:381-390 ; extent:10 |
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| 520 | |a Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. | ||
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(DE-627)NLEJ189607270 DE-627 ger DE-627 rakwb eng The Norm of a Complex Banach Lattice 1997 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. Springer Online Journal Archives 1860-2002 van Neerven, J.M.A.M. oth in Positivity 1997 1(1997) vom: Apr., Seite 381-390 (DE-627)NLEJ188986626 (DE-600)2014456-8 1572-9281 nnns volume:1 year:1997 month:04 pages:381-390 extent:10 http://dx.doi.org/10.1023/A:1009772704484 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 1 1997 4 381-390 10 |
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(DE-627)NLEJ189607270 DE-627 ger DE-627 rakwb eng The Norm of a Complex Banach Lattice 1997 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. Springer Online Journal Archives 1860-2002 van Neerven, J.M.A.M. oth in Positivity 1997 1(1997) vom: Apr., Seite 381-390 (DE-627)NLEJ188986626 (DE-600)2014456-8 1572-9281 nnns volume:1 year:1997 month:04 pages:381-390 extent:10 http://dx.doi.org/10.1023/A:1009772704484 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 1 1997 4 381-390 10 |
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(DE-627)NLEJ189607270 DE-627 ger DE-627 rakwb eng The Norm of a Complex Banach Lattice 1997 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. Springer Online Journal Archives 1860-2002 van Neerven, J.M.A.M. oth in Positivity 1997 1(1997) vom: Apr., Seite 381-390 (DE-627)NLEJ188986626 (DE-600)2014456-8 1572-9281 nnns volume:1 year:1997 month:04 pages:381-390 extent:10 http://dx.doi.org/10.1023/A:1009772704484 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 1 1997 4 381-390 10 |
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(DE-627)NLEJ189607270 DE-627 ger DE-627 rakwb eng The Norm of a Complex Banach Lattice 1997 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. Springer Online Journal Archives 1860-2002 van Neerven, J.M.A.M. oth in Positivity 1997 1(1997) vom: Apr., Seite 381-390 (DE-627)NLEJ188986626 (DE-600)2014456-8 1572-9281 nnns volume:1 year:1997 month:04 pages:381-390 extent:10 http://dx.doi.org/10.1023/A:1009772704484 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 1 1997 4 381-390 10 |
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(DE-627)NLEJ189607270 DE-627 ger DE-627 rakwb eng The Norm of a Complex Banach Lattice 1997 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. Springer Online Journal Archives 1860-2002 van Neerven, J.M.A.M. oth in Positivity 1997 1(1997) vom: Apr., Seite 381-390 (DE-627)NLEJ188986626 (DE-600)2014456-8 1572-9281 nnns volume:1 year:1997 month:04 pages:381-390 extent:10 http://dx.doi.org/10.1023/A:1009772704484 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 1 1997 4 381-390 10 |
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Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. |
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Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. |
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Abstract In this note we study the problem how the complexification of a real Banach space can be normed in such a way that it becomes a complex Banach space from the point of view of the theory of cross-norms on tensor products of Banach spaces. In particular we show that the norm of a complex Banach lattice can be interpretated in terms of the l-tensor product of real Banach lattices. |
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