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In vector spaces the notion of Jordan base is useful in considerations of the Jordan normal form of matrices. The notion of Jordan base with respect to a given linear self-mapping of a projective space is defined, and the existence of such a Jordan base is demonstrated under weak assumptions about .

Herrn Prof. Dr. Walter Wunderlich zum 80. Geburtstag gewidmet  相似文献   

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Ohne ZusammenfassungHerrn Geheimrat Heffter zum 70. Geburtstag gewidmet  相似文献   

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Ohne Zusammenfassung Vorgelegt von O. Varga Prof. Dr.O. Varga anlälich seines 50-ten Geburtstages gewidmet  相似文献   

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Finsler spaces with generalized metric are defined as C — manifolds, endowed with a Finslerian connection and a Finslerian tensor field of type (O,2). For this field, both the symmetric and the antisymmetric parts are non-degenerate, and the covariant h- and v-derivations vanish.For these spaces the Eisenhart problem is solved, i.e. necessary and sufficient conditions for the existence, as well as the most general form of such a connection are determined.  相似文献   

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For pseudoaffine spaces (P, \(\mathfrak{G}\) ) of order 3 the following questions are answered: 1) Let τ be a “translation” of (P, \(\mathfrak{G}\) ) which fixes all lines parallel to a given line A. Are lines X,Y ∥ A parallel? 2) Are there pseudoaffine euclidean spaces which are not affine? 3) How are pseudoaffine spaces characterized which are derivated from groups of exponent 3?  相似文献   

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