Detailed venom reservoir and venom gland intima morphology has been investigated in reprsentatives of 84 genera and 10 subfamilies of Braconidae with particular reference to the Doryctinac, basal cyclostomes and related groups including the Opiinae, Alysiinae and Rogadinae sens. lat. Several new phylogenetically significant characters are described and illustrated. Extcnsivc secretory ductules on the primary venom duct is suggested as a synapomorphy for the subfamilies Braconinac, Doryctinae, Opiinae, Alysiinae and Gnamptodontinae. The presence of two separate venom gland insertions and their position beyond the spiral sculpture of the reservoir are suggested as synapomorphies for the subfamilies Doryctinae and Ypsistocerinac. An anterior, weakly sclerotized, probably glandular. expansion of the reservoir characterizes the Histeromerinae and Rhyssalinae and also the enigmatic genera Thoracoplites Fischer and Doryctomorpha Ashmead which are hcre transferred to the Rhyssalinae. Within the Doryctinac, venom reservoir morphology suggests three generic groups, one comprising the genera of the Odontohraconini and possibly also the genera Acanthodoryctes, Binareu and Monarea, all of which have an essentially undivided reservoir with extremely fine and uniform spiral sculpture. the second comprising the genera Doryctophasmus, Euscelinus, Gildoria, Halycea and Schlettereriella, which share horn‐like processes at the base of the venom duct insertions, and a third including Acrophasmus. Dendro‐ soter, Heterospilus, Megaloproctus, Rutheia, Paraspathius, Schlettereriella. Spathius and Syngaster based on the presence of two markedly different densities of annulation of the reservoir. The degree to which external and other characters support these groups is discusscd.

For compact sets K ⊂ C d , we introduce a subalgebra A D (K) of A(K), which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions.

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We study the existence of algebras of hypercyclic vectors for weighted backward shifts on Fréchet sequence spaces that are algebras when endowed with coordinatewise multiplication or with the Cauchy product. As a particular case we obtain that the sets of hypercyclic vectors for Rolewicz's and MacLane's operators are algebrable.2010 Mathematics Subject Classification. Primary 47A16; Secondary 47B37.