Let E be an indefinite dimensional reflexive Banach space that fails cotype
. Define the weakly-weakly continuous function f : [0, 1] x E [right arrow] E by f := [J.sup.1-[alpha]]x, where x : I [right arrow] E is defined by formula (7).
A label on the reverse of the illustration, however, indicates that the drawing is based on a specimen (cotype
) at the Museum of Comparative Zoology (MCZ) with the U.S.
Podlesnyi collected and provided for study the specimens which became the holotype specimens of eleven new species (tuliokite, kukisvumite, sitinakite, belovite-(La), labuntsovite-Fe, lemmleinite-Ba, kukharenkoite-(La), shirokshinite, middendorfite, armbrusterite and podlesnoite) and the cotype
specimens of four other new species (kukharenkoite-(Ce), tsepinite-K, neskevaaraite-Fe and potassicarfvedsonite)!
And has cotype
q [member of] [2, [infinity]] if for every [x.sub.1], ..., [x.sub.n] [member of] E exists C [greater than or equal to] 0
Although the USNM catalog ledger has "cotype
" handwritten next to each catalog number (all 19 CAS-SU and USNM specimens are labeled as such) and Smithsonian Institution accession file no.
Weak white fluorescence under longwave ultraviolet radiation has been observed on the cotype
(Royal Ontario Museum specimen ROM M34547; R.
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and absolutely summing homogeneous polynomials in Lp-spaces.
specimen contains: cuprite, copper, quartz, mitridatite and fluorapatite.
Lepidopsetta mochigarei Snyder, 1911:547 (original description, two specimens: holotype by original designation, USNM 68245, male, 174 mm, and "cotype
." SU 21430, 145 mm TL, both from the market at Otaru, Hokkaido, Japan).
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Since [S.sup.v] is a Hilbert space (so a Banach space with cotype
2), the conditions of the "random" Frequent Hypercyclicity Criterion, see [15, Theorem 2.1 and the subsequent comments] are satisfied, which implies that [C.sub.[phi]] is frequently hypercyclic.