Defines a κ-dimensional spectral order ≼ for commuting selfadjoint operator tuples and proves it is preserved under spectral integrals of separately increasing Borel functions and equivalent to A^α ≤ B^α for all multi-indices α when operators are positive.
Operator valued Dirichlet problem in the plane
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Multidimensional spectral order for selfadjoint operators
Defines a κ-dimensional spectral order ≼ for commuting selfadjoint operator tuples and proves it is preserved under spectral integrals of separately increasing Borel functions and equivalent to A^α ≤ B^α for all multi-indices α when operators are positive.