Read C. J.'s A Banach Space With, Up To Equivalence, Precisely Two PDF

By Read C. J.

It really is renowned that the classical series areas co and Ip (1 <= p <) have, as much as equivalence, only one symmetric foundation. however, there are examplesof Orlicz series areas that have uncountably many at the same time nonequivalentsymmetric bases. hence in [4], p. a hundred thirty, the query is requested whetherthere is a Banach house with, as much as equivalence, multiple symmetric basis,but no longer uncountably many. during this paper we resolution the query certainly, byexhibiting a Banach area with, as much as equivalence, accurately symmetricbases.

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38 In fashioning a landscape of leisure, hotel proprietors and their guests in the White Mountains understood cultivation in terms of art, not agriculture. 39 If the ‘‘rugged grandeur’’ of the mountains was ‘‘somewhat marred by the presence of [such] mammoth hostelries, and by the lines of railroad which pass with sinuous course through the valleys, . . 41 They drew poetic inspiration from, botanized, and took solace in nature; they did not care to toil in it. They also did not care to see nature disturbed, for example, by agricultural practice or logging.

Hay Fever Association in Bethlehem, where it continued meeting for the next fifty years. ‘‘Among all the maladies of men,’’ reflected the retiring president, Samuel Lockwood, in 1891, ‘‘this is the only one which has crystallized into an organic companionship. ’’25 Unlike the Adirondacks, the Rocky Mountains, and southern California, the White Mountains region did not market its climate and locale to a wide range of pulmonary sufferers, most notably those stricken by tuberculosis. Neither did Petoskey, Michigan, where the Western Hay Fever Association was established in 1882.

Through word of mouth and the advice of physicians like Wyman, news of the healing properties of the White Mountains spread. S. Hay Fever Association in Bethlehem, where it continued meeting for the next fifty years. ‘‘Among all the maladies of men,’’ reflected the retiring president, Samuel Lockwood, in 1891, ‘‘this is the only one which has crystallized into an organic companionship. ’’25 Unlike the Adirondacks, the Rocky Mountains, and southern California, the White Mountains region did not market its climate and locale to a wide range of pulmonary sufferers, most notably those stricken by tuberculosis.

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A Banach Space With, Up To Equivalence, Precisely Two Symmetric Bases by Read C. J.


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