Finding Minimum Distance on Birkhoff-James Orthogonality in Banach Space
In this paper, we define orthogonality concept on Banach space. This orthogonality is called Birkhoff-James orthogonality. In this paper, we will discuss some new problem about the correlation between orthogonality on Hilbert space and Birkhoff-James orthogonality. Correlation between those two can be investigated by observing the correlation between Hilbert space and Banach space with particular norm. Further, we discuss about the correlation between minimum distance in Banach space with Birkhoff-James orthogonality, by generalized the concept of finding the minimum distance in Hilbert space.
2005 ◽
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