Strongly integrable operator-valued functions generate norm-countably additive measures when X* avoids c0, so their integrals of compact operators are compact when X avoids ℓ1, plus a spectral radius inequality for commuting families.
Bogachev, Mihailo Krstić,Integration of functions with values in spaces of measures, Proc
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Strongly Integrable Operator-Valued Functions, Generated Vector Measures and Compactness of Integrals
Strongly integrable operator-valued functions generate norm-countably additive measures when X* avoids c0, so their integrals of compact operators are compact when X avoids ℓ1, plus a spectral radius inequality for commuting families.