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Your search keyword '"Riesz space"' showing total 1 results
Start Over Descriptor "Riesz space" Publication Year Range Last 3 years Publisher journal of advanced mathematical studies

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1 results on '"Riesz space"'

1. STRONGLY ORDER CONTINUOUS OPERATORS ON RIESZ SPACES.

Author

PAZIRA, MOHAMMAD, AZAR, KAZEM HAGHNEJAD, MATIN, MINA, and ZARE, SAJJAD GHANIZADEH

Subjects
*RIESZ spaces, *BANACH lattices, *FUNCTIONALS
Abstract

In this paper we introduce two new classes of operators which are called strongly order continuous and order-to-unbounded order continuous operators and we study their lattice properties. With under some conditions, we show that order continuity is equivalent to strongly order continuity of operators on Riesz spaces. We show that the collection of all strongly continuous linear functionals on a Riesz space E is a band of E~. [ABSTRACT FROM AUTHOR]

Published
2023

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