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ON THE B-ANGLE AND g-ANGLE IN NORMED SPACES

It is known that in a strictly convex normed space, the B−orthogonality (Birkhoff orthogonality) has the property, “ B−orthogonality is unique to the left“. Using this property, we introduce the definition of the so-called B−angle between two vectors, in a smooth and uniformly convex space. Also, we define the so-called g−angle between two vectors. It is demonstrated that the g−angle in a unilateral triangle, in a quasi-inner product space, is π/3. Theg−angle between a side and a diagonal, in a so-called g−quandrangle, isπ/4.