Estimates of the diameters of certain sets in the Banach spaces and are given; in particular, the orders of the diameters , , 1$ SRC=http://ej.iop.org/images/0025-5726/11/2/A06/tex_im_1719_img5.gif/>, are completely determined.Bibliography: 18 titles.
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B S Kašin (1977) studied this question.
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