ON THE GENERAL TRACE DECOMPOSITION PROBLEM

Josef Mike\v{s}

Key words: Trace decomposition problem, tensor space, affine structure,
K\"ahlerian space.

1991 Math. Subject Classification: 15A72, 53A55.

Abstract: Another formulation of Krupka's trace
decomposition theorem together with ``constructive'' proof is presented.
Moreover the trace decomposition problem is generalized to the case of
tensor spaces with affine structures.