ON THE SPACES OF ( p, q) -LINEAR AND OF ( p, q ) - HOMOGENEOUS MAPPINGS BETWEEN COMPLEX LINEAR SPACES
Keywords:
( p , q) -linear mapping, ( p, q) -homogeneous mapping, pro- jector.Abstract
We show that the space of ( p , q ) -linear mappings between complex linear spaces is a proper subspace of the space of ( p, q ) -homogeneous with respect to the collection of arguments and ( p + q ) -linear in the real sense mappings. Also we construct a projector from the space of ( p , q )homogeneous with respect to the collection of arguments and ( p + q) -linear in the real sense mappings onto the space of ( p, q ) -linear mappings.
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