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Ohne Zusammenfassung  相似文献   

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Ohne ZusammenfassungHerrn Prof. Dr. F. Sommer Gewidmet  相似文献   

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Ohne ZusammenfassungUnterstützt durch Air Force Office of Scientific Research, through the European Office, Aerospace Research, United States Air Force, OAR 62–40.  相似文献   

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Let be an involutorial antiautomorphism of the division ring K with char K 2 and E := {r K | rr = 1}. Refining a result of R. Baer we prove: (card E–1)2 < card K =id. This is done by computing card E and the cardinal numbers of the sets consisting of the -symmetric respectively the -skew-symmetric elements.  相似文献   

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In 1809 J. IVORY found a distance relation between any two confocal ellipsoids in Euclidean space E3. After that, the theorem of IVORY has been formulated for any two nondegenerate confocal quadrics of the same type. In this paper we succeed in completing these results and in formulating and proving them uniformly for any two quadrics of the same type belonging to a general system of confocal quadrics.

Herrn Prof. Dr. Oswald Giering zum 60. Geburtstag gewidmet  相似文献   

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A theorem of W.RUPP [4] on integration of correspondences (set-valued functions) is slightly generalized and a new short proof is given by means of a measurability concept for correspondences which was introduced by H.RICHTER [3].  相似文献   

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Previous negative results on the comparison of two approximation processes {Vn}, {Wn} are further developed so as to obtain necessary conditions for the comparison of sequences of linear functionals. Indeed, the assertions are based upon the behaviour of the bilinear form V nf W ng—W nf V ng on certain subsets of the unit sphere. One of the applications is concerned with the pointwise approximation by convolution processes.  相似文献   

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Luxemburg and Korevaar obtain in [3] a relationship between entire functions and Müntz's approximation theorem. In this note we want to show that a slightly modified version of [2] implies the main results of [3].  相似文献   

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