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Autor:
Oleg Reinov, Qaisar Latif
Publikováno v:
Banach Center Publications. 102:189-195
Generalizing A. Grothendieck's (1955) and V.B. Lidski 's (1959) trace formulas, we have shown in a recent paper that for p ∈ [1,∞] and s ∈ (0, 1] with 1/s = 1+ |1/2− 1/p| and for every s-nuclear operator T in every subspace of any Lp(ν)-spac
Autor:
Oleg Reinov, Qaisar Latif
Publikováno v:
Mathematische Nachrichten. 286:279-282
In 1955, A. Grothendieck has shown that if the linear operator T in a Banach subspace of an L∞-space is 2/3-nuclear then the trace of T is well defined and is equal to the sum of all eigenvalues {μk(T)} of T. Lidskiǐ, in 1959, proved his famous t
Autor:
Qaisar Latif, Oleg Reinov
The main purpose of this note is to show that the question posed in the paper of Sinha D.P. and Karn A.K.("Compact operators which factor through subspaces of $l_p$ Math. Nachr. 281, 2008, 412-423; see the very end of that paper) has a negative answe
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