Analytical Study on Approximate 𝝐-Birkhoff-James Orthogonality
Keyword(s):
Rank One
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In this paper, we obtain a complete characterization for the norm and the minimum norm attainment sets of bounded linear operators on a real Banach spaces at a vector in the unit sphere, using approximate 𝜖-Birkhoff-James orthogonality techniques. As an application of the results, we obtained a useful characterization ofbounded linear operators on a real Banach spaces. Also, using approximate 𝜖-Birkhoff -James orthogonality proved that a Banach space is a reflexive if and only if for any closed hyperspace of , there exists a rank one linear operator such that , for some vectors in and such that 𝜖 .Mathematics subject classification (2010): 46B20, 46B04, 47L05.
1977 ◽
Vol 18
(1)
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pp. 13-15
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2022 ◽
pp. 94-101
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1991 ◽
Vol 14
(3)
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pp. 611-614
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2016 ◽
Vol 160
(3)
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pp. 413-421
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Keyword(s):
1969 ◽
Vol 16
(3)
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pp. 227-232
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