Grothendieck-Lidskiĭ theorem for subspaces of quotients of Lp-spaces
Oleg Reinov ; Qaisar Latif
Banach Center Publications, Tome 102 (2014), p. 189-195 / Harvested from The Polish Digital Mathematics Library

Generalizing A. Grothendieck’s (1955) and V. B. Lidskiĭ’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)-space the trace of T is well defined and equals the sum of all eigenvalues of T. Now, we obtain the analogous results for subspaces of quotients (equivalently: for quotients of subspaces) of Lp-spaces.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:282047
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     author = {Oleg Reinov and Qaisar Latif},
     title = {Grothendieck-Lidski\u\i\ theorem for subspaces of quotients of $L\_p$-spaces},
     journal = {Banach Center Publications},
     volume = {102},
     year = {2014},
     pages = {189-195},
     zbl = {1320.47018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc102-0-13}
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Oleg Reinov; Qaisar Latif. Grothendieck-Lidskiĭ theorem for subspaces of quotients of $L_p$-spaces. Banach Center Publications, Tome 102 (2014) pp. 189-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc102-0-13/