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CESAR ADRIAN LUNA RUIZ

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Papers by CESAR ADRIAN LUNA RUIZ

Research paper thumbnail of Historia Natural De La Esponja Discodermia Dissoluta (Porifera: Demospongiae: Lithistida) en Santa Marta, Caribe Colombiano

Bulletin of Marine and Coastal Research, 2016

The marine sponge Discodermia dissoluta is a source of the polyketide discodermolide, a potent an... more The marine sponge Discodermia dissoluta is a source of the polyketide discodermolide, a potent antitumoral agent that has reached clinical trials in humans. In Santa Marta, where this species occurs at shallower depths than in other Caribbean areas, for the first time it was possible to study by SCUBA its ecological characteristics, distribution and abundance. By searching the base of the reefs (12-25 m in depth) it was found that this species is restricted to sites or bays with relatively low wave-exposure, dwelling predominantly in hard, horizontal to inclined substrata, generally exposed to light. Censuses carried out in 4 m-radius circles in sectors where this sponge occurs showed moderate densities (about 2-5 ind/50 m2) that, although not very low, do not support its commercial exploitation to obtain discodermolide. By locating individuals in the sampling space and using the point pattern distribution functions F, G and K, it was determined that individuals of D. dissoluta are ...

Research paper thumbnail of Norm Attaining Operators on Some Classical Banach Spaces

Mathematische Nachrichten, 2002

We show that for the Köthe space X = c 0 + 1 (w), equipped with the Luxemburg norm, the set of no... more We show that for the Köthe space X = c 0 + 1 (w), equipped with the Luxemburg norm, the set of norm attaining operators from X into any infinite-dimensional strictly convex Banach space Y is not dense in the space of all bounded operators. The same assertion holds for any infinitedimensional L 1 (µ). This gives the first example of a classical space X satisfying the previous property. We also prove that all the spaces c 0 + 1 (w) are isomorphic for a large class of weights w.

Still with F fixed, now we use all possible choices of signs (a finite set) and we have the previous domination for any choice of signs except on a set of measure zero. By fixing t out of this measure zero set we deduce that  assume that supp(zo9) = J and for every finite subset F’ Cc IN\J and any collection of scalars {0;} with |6;| = 1 it holds that

Research paper thumbnail of Historia Natural De La Esponja Discodermia Dissoluta (Porifera: Demospongiae: Lithistida) en Santa Marta, Caribe Colombiano

Bulletin of Marine and Coastal Research, 2016

The marine sponge Discodermia dissoluta is a source of the polyketide discodermolide, a potent an... more The marine sponge Discodermia dissoluta is a source of the polyketide discodermolide, a potent antitumoral agent that has reached clinical trials in humans. In Santa Marta, where this species occurs at shallower depths than in other Caribbean areas, for the first time it was possible to study by SCUBA its ecological characteristics, distribution and abundance. By searching the base of the reefs (12-25 m in depth) it was found that this species is restricted to sites or bays with relatively low wave-exposure, dwelling predominantly in hard, horizontal to inclined substrata, generally exposed to light. Censuses carried out in 4 m-radius circles in sectors where this sponge occurs showed moderate densities (about 2-5 ind/50 m2) that, although not very low, do not support its commercial exploitation to obtain discodermolide. By locating individuals in the sampling space and using the point pattern distribution functions F, G and K, it was determined that individuals of D. dissoluta are ...

Research paper thumbnail of Norm Attaining Operators on Some Classical Banach Spaces

Mathematische Nachrichten, 2002

We show that for the Köthe space X = c 0 + 1 (w), equipped with the Luxemburg norm, the set of no... more We show that for the Köthe space X = c 0 + 1 (w), equipped with the Luxemburg norm, the set of norm attaining operators from X into any infinite-dimensional strictly convex Banach space Y is not dense in the space of all bounded operators. The same assertion holds for any infinitedimensional L 1 (µ). This gives the first example of a classical space X satisfying the previous property. We also prove that all the spaces c 0 + 1 (w) are isomorphic for a large class of weights w.

Still with F fixed, now we use all possible choices of signs (a finite set) and we have the previous domination for any choice of signs except on a set of measure zero. By fixing t out of this measure zero set we deduce that  assume that supp(zo9) = J and for every finite subset F’ Cc IN\J and any collection of scalars {0;} with |6;| = 1 it holds that

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