Publicaciones UEX
http://hdl.handle.net/10662/28
Thu, 21 Mar 2019 05:44:50 GMT2019-03-21T05:44:50ZWeighted spaces of holomorphic functions on Banach spaces and the approximation property
http://hdl.handle.net/10662/8986
Weighted spaces of holomorphic functions on Banach spaces and the approximation property
Gupta, Manjul; Baweja, Deepika
In this paper, we study the linearization theorem for the weighted space H_ω(U; F) of holomorphic functions de_ned on an open subset U of a Banach space E with values in a Banach space F. After having introduced a locally convex topology T_M on the space H_w (U; F), we show that (H_w (U; F);T_M) is topologically isomorphic to (L(G_ω (U); F), T_c ) where G_w (U)is the predual of H_w(U) consisting of all linear functionals whose restrictions to the closed unit ball of H_w(U) are continuous for the compact open topology T_0. Finally, these results have been used in characterizing the approximation property for the space H_w(U) and its predual for a suitably restricted weight w.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/10662/89862016-01-01T00:00:00ZOn LS-category of a family of rational elliptic spaces II
http://hdl.handle.net/10662/8984
On LS-category of a family of rational elliptic spaces II
Boutahir, Khalid; Rami, Youssef
Let X be a finite type simply connected rationally elliptic CW-complex with Sullivan minimal model (ɅV; d) and let k ⩾ 2 the biggest integer such that d=∑_(i⩾k)▒dᵢ with d_i(V ) ⊆ Ʌ^iV. If (ɅV; d_k) is moreover elliptic then cat(ɅV, d) = cat(ɅV,d_k) = dim(V^even)(k ⧿ 2) + dim(V^odd). Our work aims to give an almost explicit formula of LS-category of such spaces in the case when k ⩾ 3 and when (ɅV;d_k) is not necessarily elliptic.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/10662/89842016-01-01T00:00:00ZA study on Ricci solitons in generalized complex space form
http://hdl.handle.net/10662/8981
A study on Ricci solitons in generalized complex space form
Praveena, M.M.; Bagewadi, C.S.
In this paper we obtain the condition for the existence of Ricci solitons in non-at generalized complex space form by using Eisenhart problem. Also it is proved that if (ɡ; V, ʎ) is Ricci soliton then V is solenoidal if and only if it is shrinking or steady or expanding depending upon the sign of scalar curvature.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/10662/89812016-01-01T00:00:00ZOn generalized Lie bialgebroids and Jacobi groupoids
http://hdl.handle.net/10662/8979
On generalized Lie bialgebroids and Jacobi groupoids
Das, Apurba
Generalized Lie bialgebroids are generalization of Lie bialgebroids and arises naturally from Jacobi manifolds. It is known that the base of a generalized Lie bialgebroid carries a Jacobi structure. In this paper, we introduce a notion of morphism between generalized Lie bialgebroids over a same base and prove that the induce Jacobi structure on the base is unique up to a morphism. Next we give a characterization of generalized Lie bialgebroids and use it to show that generalized Lie bialgebroids are infinitesimal form of Jacobi groupoids. We also introduce coisotropic subgroupoids of a Jacobi groupoid and these subgroupoids corresponds to, so called coisotropic subalgebroids of the corresponding generalized Lie bialgebroid.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/10662/89792016-01-01T00:00:00Z