Statement:

Every operator on a Hilbert space with an amorphous base is the direct sum of a finite matrix and  a  scalar operator.  (A set is amorphous if it is not the union of two disjoint infinite sets.)

Howard_Rubin_Number: 124

Parameter(s): This form does not depend on parameters

This form's transferability is: Unknown

This form's negation transferability is: Negation Transferable

Article Citations:
Brunner-1984a: Hilbertraume mit amorphen Basen (English summary)

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 124,

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