[F] Asymptotic Structure and the Geometry of Infinite Dimentional |
[5], [7], [9], [18], [19], [26], [27], [30], [31], [38], [40], [47], [93], [104], [105], [106], [115], [129], Some crucial papers: |
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[26] | 1970, (see also
details in [27]); the theory of sequences is
developed, which copies R.James theory of bases; as a by-product
the only known till recently "positive" fact on the linear
structure of infinite dim. subspaces is proved. It is mostly
known now as "Johnson- Rosenthal theorem", as in my proof one
lemma was wrongly stated, although easily correctable. I was
still in Russia that time, and strangely for me, this correction
took a lot of effords from my western collegues. My way of
correction, distributed privetly later between experts was straightforward and takes a half of a page. The formulation of this fact was not rediscovered independently, but (it is written) taken from my paper. |
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[27] | 1970 | |
[31] | 1971 | |
[47] | 1979, joint with Sharir; it actually forsees the asymptotic structural theory of Infinite Dim. Spaces, as it was later developed in the middle of 90-th. | |
[104] | 1993, joint with Tomczak-Jaegermann; the theory of asymptotic spaces and asymptotic structure is developed, and then continued in [105], 1995, jointly with Maurey and Tomczak-Jaegermann. | |
[106] | 1996, this survey presents my view on the breackthrough development of the 90-th in the structural theory of inf. dim. spaces and its connection with understanding of Infinite dim. Geometry developed in the end of 60-th and 70-th. | |