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On density and π-weight of Lp(βN,R, μ)

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On density and π-weight of Lp(βN,R, μ)

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Iurato, G. (2012). On density and π-weight of Lp(βN,R, μ). Applied General Topology. 13(1):33-38. doi:10.4995/agt.2012.1636.

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/87181

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Title: On density and π-weight of Lp(βN,R, μ)
Author: Iurato, Giuseppe
Issued date:
Abstract:
[EN] The new topological concept of selective separability is able to give some estimates for density and π-weight of the Lebesgue space Lp(βN,R, μ) with 1 ≤ p < +∞. In particular, we deduce a purely topological proof of ...[+]
Subjects: Separability , Selective separability , Lebesgue space
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2012.1636
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2012.1636
Type: Artículo

References

A. Bella, M. Bonanzinga, M. V. Matveev and V. V. Tkachuck, Selective separability: general facts and behaviour in countable spaces, Topology Proceedings 32 (2008), 15–30.

N. Dunford and J. T. Schwartz, Linear Operators, Part I, John Wiley and Sons, New York, 1976.

Ponomarev, V. I. (1966). ON SPACES CO-ABSOLUTE WITH METRIC SPACES. Russian Mathematical Surveys, 21(4), 87-114. doi:10.1070/rm1966v021n04abeh004168 [+]
A. Bella, M. Bonanzinga, M. V. Matveev and V. V. Tkachuck, Selective separability: general facts and behaviour in countable spaces, Topology Proceedings 32 (2008), 15–30.

N. Dunford and J. T. Schwartz, Linear Operators, Part I, John Wiley and Sons, New York, 1976.

Ponomarev, V. I. (1966). ON SPACES CO-ABSOLUTE WITH METRIC SPACES. Russian Mathematical Surveys, 21(4), 87-114. doi:10.1070/rm1966v021n04abeh004168

W. Rudin, Real and Complex Analysis, MacGraw-Hill, Ljubljana, 1970. L. A. Steen and J. A. Seebach, Counterexamples in Topology, Holt, Rinehart and Winston, Inc., New York, 1970. A. Tesei, Istituzioni di Analisi Superiore, Bollati Boringhieri, Torino, 1997.

Scheepers, M. (1999). COMBINATORICS OF OPEN COVERS VI: SELECTORS FOR SEQUENCES OF DENSE SETS. Quaestiones Mathematicae, 22(1), 109-130. doi:10.1080/16073606.1999.9632063

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