caa a22 4500 378906038 CHVBK 20180305123530.0 cr unu---uuuuu 161128e200403 xx s 000 0 eng 10.1515/GMJ.2004.43 doi (NATIONALLICENCE)gruyter-10.1515/GMJ.2004.43 Ballico E. Department of Mathematics, University of Trento, 38050 Povo (TN), Italy. E-mail: ballico@science.unitn.it Projective Bundles on Infinite-Dimensional Complex Spaces [Elektronische Daten] [E. Ballico] Let V be a complex localizing Banach space with countable unconditional basis and E a rank r holomorphic vector bundle on P(V). Here we study the holomorphic embeddings of P(E) into products of projective spaces and the holomorphic line bundles on P(E). In particular we prove that if r ≥ 3, then H 1(P(E), L) = 0 for every holomorphic line bundle L on P(E). © Heldermann Verlag Infinite-dimensional projective space nationallicence complex Banach manifold nationallicence holomorphic vector bundle nationallicence holomorphic line bundle nationallicence localizing Banach space nationallicence Banach space with countable unconditional basis nationallicence Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/1(2004-03), 43-48 1072-947X 11:1<43 2004 11 GMJ https://doi.org/10.1515/GMJ.2004.43 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/GMJ.2004.43 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ballico E. Department of Mathematics, University of Trento, 38050 Povo (TN), Italy. E-mail: ballico@science.unitn.it NATIONALLICENCE 773 0- Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/1(2004-03), 43-48 1072-947X 11:1<43 2004 11 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter