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Approximation of p-summing operators by adjoints. / Reinov, Oleg I.

5th International Conference on Research and Education in Mathematics, ICREM5. American Institute of Physics, 2012. p. 32-36 (AIP Conference Proceedings; Vol. 1450).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Reinov, OI 2012, Approximation of p-summing operators by adjoints. in 5th International Conference on Research and Education in Mathematics, ICREM5. AIP Conference Proceedings, vol. 1450, American Institute of Physics, pp. 32-36, 5th International Conference on Research and Education in Mathematics, ICREM5, Bandung, Indonesia, 22/10/11. https://doi.org/10.1063/1.4724114, https://doi.org/10.1063/1.4724114

APA

Reinov, O. I. (2012). Approximation of p-summing operators by adjoints. In 5th International Conference on Research and Education in Mathematics, ICREM5 (pp. 32-36). (AIP Conference Proceedings; Vol. 1450). American Institute of Physics. https://doi.org/10.1063/1.4724114, https://doi.org/10.1063/1.4724114

Vancouver

Reinov OI. Approximation of p-summing operators by adjoints. In 5th International Conference on Research and Education in Mathematics, ICREM5. American Institute of Physics. 2012. p. 32-36. (AIP Conference Proceedings). https://doi.org/10.1063/1.4724114, https://doi.org/10.1063/1.4724114

Author

Reinov, Oleg I. / Approximation of p-summing operators by adjoints. 5th International Conference on Research and Education in Mathematics, ICREM5. American Institute of Physics, 2012. pp. 32-36 (AIP Conference Proceedings).

BibTeX

@inproceedings{9ce11b7bc20543c488d2e42a45ea739f,
title = "Approximation of p-summing operators by adjoints",
abstract = "We consider the following question for the ideals Π p of absolutely p-summing operators: Is it true that, for given Banach spaces X and Y, the unit ball of the space Π p(X,Y) is dense, for some natural topology, in the unit ball of the space Π p(X,Y**) or in the unit ball of the corresponding space Π p dual(Y*,X*):=(U:Y*→X*ιU* ι XεΠ p(X,Y**)? As {"}natural topologies{"}, we consider strong and weak operator topologies, compact-open topology, topology of X × Y*-convergence etc.",
keywords = "Absolutely p-summing operators, Banach tensor product, Pointwise convergence",
author = "Reinov, {Oleg I.}",
year = "2012",
doi = "10.1063/1.4724114",
language = "English",
isbn = "9780735410497",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
pages = "32--36",
booktitle = "5th International Conference on Research and Education in Mathematics, ICREM5",
address = "United States",
note = "5th International Conference on Research and Education in Mathematics, ICREM5 ; Conference date: 22-10-2011 Through 24-10-2011",

}

RIS

TY - GEN

T1 - Approximation of p-summing operators by adjoints

AU - Reinov, Oleg I.

PY - 2012

Y1 - 2012

N2 - We consider the following question for the ideals Π p of absolutely p-summing operators: Is it true that, for given Banach spaces X and Y, the unit ball of the space Π p(X,Y) is dense, for some natural topology, in the unit ball of the space Π p(X,Y**) or in the unit ball of the corresponding space Π p dual(Y*,X*):=(U:Y*→X*ιU* ι XεΠ p(X,Y**)? As "natural topologies", we consider strong and weak operator topologies, compact-open topology, topology of X × Y*-convergence etc.

AB - We consider the following question for the ideals Π p of absolutely p-summing operators: Is it true that, for given Banach spaces X and Y, the unit ball of the space Π p(X,Y) is dense, for some natural topology, in the unit ball of the space Π p(X,Y**) or in the unit ball of the corresponding space Π p dual(Y*,X*):=(U:Y*→X*ιU* ι XεΠ p(X,Y**)? As "natural topologies", we consider strong and weak operator topologies, compact-open topology, topology of X × Y*-convergence etc.

KW - Absolutely p-summing operators

KW - Banach tensor product

KW - Pointwise convergence

UR - http://www.scopus.com/inward/record.url?scp=84861943701&partnerID=8YFLogxK

U2 - 10.1063/1.4724114

DO - 10.1063/1.4724114

M3 - Conference contribution

SN - 9780735410497

T3 - AIP Conference Proceedings

SP - 32

EP - 36

BT - 5th International Conference on Research and Education in Mathematics, ICREM5

PB - American Institute of Physics

T2 - 5th International Conference on Research and Education in Mathematics, ICREM5

Y2 - 22 October 2011 through 24 October 2011

ER -

ID: 8183931