Glasnik matematički, Vol. 38 No. 1, 2003.
Izvorni znanstveni članak
On a generalization of the sine function
Tomasz Szostok
Sažetak
A function
s(x,y) = inf { ||x + y|| / ||x|| : }
strictly connected with Birkhoff-James orthogonality is considered. This function may be used in functional equations theory, to provide unconditional equations in place of orthogonal equations in the sense of Birkhoff-James. Moreover, we deal with another generalization of the sine function which, in particular leads to a characterization of inner product spaces.
Ključne riječi
Birkhoff-James orthogonality; functional equation; inner product space
Hrčak ID:
1333
URI
Datum izdavanja:
1.6.2003.
Posjeta: 546 *