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.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.