Multivariable pseudospectrum in C^*-algebras
arxiv(2024)
摘要
We look at various forms of spectrum and associated pseudospectrum that can
be defined for noncommuting d-tuples of Hermitian elements of a
C^*-algebra. The emphasis is on theoretical calculations of examples, in
particular for noncommuting pairs and triple of operators on infinite
dimensional Hilbert space. In particular, we look at the universal pair of
projections in a C^*-algebra, the usual position and momentum operators, and
triples of tridiagonal operators.
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