ABSOLUTE SUMS OF BANACH SPACES AND SOME GEOMETRIC PROPERTIES RELATED TO ROTUNDITY AND SMOOTHNESS

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HARDTKE JAN DAVID

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2014 | Volume:8 | Issue:1 Page(s): 295-334

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Information Journal Paper

Title

ABSOLUTE SUMS OF BANACH SPACES AND SOME GEOMETRIC PROPERTIES RELATED TO ROTUNDITY AND SMOOTHNESS

Author(s)

HARDTKE JAN DAVID | Issue Writer Certificate

Keywords

ROTUNDITY

SMOOTHNESS

ACS SPACES

UACS SPACES

ABSOLUTE SUMS

Abstract

We study the notions of acs, luacs and uacs Banach spaces which were introduced by Kadets et al. and form common generalisations of the usual ROTUNDITY and SMOOTHNESS properties of Banach spaces. In particular, we are interested in (mainly infinite) ABSOLUTE SUMS of such spaces. We also introduce some new classes of spaces that lie in between those of acs and UACS SPACES and study their behaviour under the formation of ABSOLUTE SUMS as well.

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APA: Copy

HARDTKE, JAN DAVID. (2014). ABSOLUTE SUMS OF BANACH SPACES AND SOME GEOMETRIC PROPERTIES RELATED TO ROTUNDITY AND SMOOTHNESS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 8(1), 295-334. SID. https://sid.ir/paper/317001/en

Vancouver: Copy

HARDTKE JAN DAVID. ABSOLUTE SUMS OF BANACH SPACES AND SOME GEOMETRIC PROPERTIES RELATED TO ROTUNDITY AND SMOOTHNESS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2014;8(1):295-334. Available from: https://sid.ir/paper/317001/en

IEEE: Copy

JAN DAVID HARDTKE, “ABSOLUTE SUMS OF BANACH SPACES AND SOME GEOMETRIC PROPERTIES RELATED TO ROTUNDITY AND SMOOTHNESS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 8, no. 1, pp. 295–334, 2014, [Online]. Available: https://sid.ir/paper/317001/en

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