[isabelle] New in the AFP: Complex Bounded Operators

Dear all,

I’m happy to announce a new entry in the AFP.


Complex Bounded Operators
  by Jose Manuel Rodriguez Caballero and Dominique Unruh

We present a formalization of bounded operators on complex vector spaces. Our
formalization contains material on complex vector spaces (normed spaces,
Banach spaces, Hilbert spaces) that complements and goes beyond the
developments of real vectors spaces in the Isabelle/HOL standard library. We
define the type of bounded operators between complex vector spaces (cblinfun)
and develop the theory of unitaries, projectors, extension of bounded linear
functions (BLT theorem), adjoints, Loewner order, closed subspaces and more.
For the finite-dimensional case, we provide code generation support by
identifying finite-dimensional operators with matrices as formalized in the
Jordan_Normal_Form AFP entry.


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