Hilbert Book Model Project/Slide 7

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hbmp Hilbert Book Model Project 7

Reference operators together with quaternionic functions
offer the opportunity to specify a category of defined operators

The defined operator reuses the eigenvectors of the reference operator
and uses the target value of the quaternionic function
that belongs to the corresponding parameter value
to define the corresponding eigenvalue of the defined operator

The same procedure can be applied in the non-separable Hilbert space,
but this time all elements of the number system are applied

This procedure merges Hilbert space operator technology
with quaternionic function theory and indirectly,
with quaternionic differential and integral calculus

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