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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2020 Volume 107, Issue 2, Pages 247–256 (Mi mzm12701)

This article is cited in 1 paper

Papers published in the English version of the journal

On the Duality of Grand Bochner–Lebesgue Spaces

P. Jaina, M. Singhb, A. Singhc, V. D. Stepanovd

a South Asian University, Akbar Bhawan, New Delhi, 110021 India
b Lady Shri Ram College For Women (University of Delhi), New Delhi, 110024 India
c Dyal Singh College (University of Delhi), New Delhi, 110003 India
d Computing Center of the Far Eastern Branch of Russian Academy of Sciences, Khabarovsk, 680000 Russia

Abstract: The associate space of the grand Bochner–Lebesgue space $L^{p)}(I;X)$ is obtained without assuming the Radon–Nikodým property.

Keywords: grand Lebesgue space, Bochner–Lebesgue space, associate space, Radon–Nikodým property.

Received: 06.11.2019

Language: English


 English version:
Mathematical Notes, 2020, 107:2, 247–256

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© Steklov Math. Inst. of RAS, 2024