Concerning interior mapping theorem
Marián J. Fabián (1979)
Commentationes Mathematicae Universitatis Carolinae
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Marián J. Fabián (1979)
Commentationes Mathematicae Universitatis Carolinae
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Bogdan Rzepecki (1981)
Commentationes Mathematicae Universitatis Carolinae
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Reinhard Nehse (1978)
Commentationes Mathematicae Universitatis Carolinae
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František Tumajer (1992)
Applications of Mathematics
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In this paper the notion of the derivative of the norm of a linear mapping in a normed vector space is introduced. The fundamental properties of the derivative of the norm are established. Using these properties, linear differential equations in a Banach space are studied and lower and upper estimates of the norms of their solutions are derived.