On the existence of bases of class \(C^ p\) of the kernel and the image of a matrix function

DOI10.1016/0024-3795(90)90115-SzbMath0701.15022MaRDI QIDQ913904

Jean-Claude Evard

Publication date: 1990

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

zbMATH Keywords

smoothnessbaseskernelrangegeneralized inversesconstant rank rectangular matrix function

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

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Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
• On matrix functions which commute with their derivative
• A remark on homogeneous linear equations with variable coefficients
• Some global properties of matrices of functions of one variable
• Über Algebren stetiger Operatorfunktionen
• Contribution à l'étude des applications linéaires dans un espace de Banach
• Differentiable generalized inverses
• Doležal's theorem, linear algebra with continuously parametrized elements, and time-varying systems
• The existence of a continuous basis of a certain linear subspace of $E\sb{r}$ which depends on a parameter
• Generalizations of a theorem of doležal
• Conditions for a Matrix to Commute with its Integral