Convergence in measure with respect to a matrix-valued measure and some matrix completion problems

DOI10.1016/j.laa.2010.10.009zbMath1214.15019OpenAlexW2016852868MaRDI QIDQ624361

Peter Kunkel, David Rudolph, Lutz Klotz

Publication date: 9 February 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.10.009

zbMATH Keywords

matrix completionconvergence in measurematrix-valued measurenonnegative Hermitian measure

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Vector-valued set functions, measures and integrals (28B05) Matrix completion problems (15A83)

Cites Work

• Hyponormal \(2\times{}2\) matrices are subnormal
• On normal extensions of submatrices
• The Schur complement and its applications
• Characterizations of subnormal matrices
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• Borel Measurability in Linear Algebra
• Integration Over Vector-Valued Measures
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