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A New Type Of Orthogonality In Banach Spaces, Abeer Hasan
A New Type Of Orthogonality In Banach Spaces, Abeer Hasan
Abeer Hasan
In this Thesis we study the problem of defining orthogonality in
Banach spaces that do not possess an inner product. We present the answers
to this problem for pairs of elements. Then we handle the more general
form of the problem, by studying orthonormality of sequences.
Finally, we present a new definition of orthogonality in Banach
spaces, and study its properties