Publicaciones UEXhttp://hdl.handle.net/10662/282019-03-21T16:32:27Z2019-03-21T16:32:27ZOn small combination of slices in Banach spacesBasu, SudeshnaRao, T. S. S. R. K.http://hdl.handle.net/10662/89962019-03-21T13:02:54Z2016-01-01T00:00:00ZOn small combination of slices in Banach spaces
Basu, Sudeshna; Rao, T. S. S. R. K.
The notion of Small Combination of Slices (SCS) in the unit ball of a Banach space was first introduced in [4] and subsequently analyzed in detail in [12] and [13]. In this work, we introduce the notion of BSCSP, which can be seen as a generalization of dentability in terms of SCS. We study certain stability results for the w*-BSCSP leading to a discussion on BSCSP in the context of ideals of Banach spaces. We prove that the w*-BSCSP can be lifted from a M-ideal to the whole Banach Space. We also prove similar results for strict ideals and U-subspaces of a Banach space. We note that the space C(K;X)* has w*-BSCSP when K is dispersed and X* has the w*-BSCSP.
2016-01-01T00:00:00ZWeighted spaces of holomorphic functions on Banach spaces and the approximation propertyGupta, ManjulBaweja, Deepikahttp://hdl.handle.net/10662/89862019-03-20T12:08:38Z2016-01-01T00:00:00ZWeighted 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.
2016-01-01T00:00:00ZOn LS-category of a family of rational elliptic spaces IIBoutahir, KhalidRami, Youssefhttp://hdl.handle.net/10662/89842019-03-20T11:05:34Z2016-01-01T00:00:00ZOn 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.
2016-01-01T00:00:00ZA study on Ricci solitons in generalized complex space formPraveena, M.M.Bagewadi, C.S.http://hdl.handle.net/10662/89812019-03-20T08:53:29Z2016-01-01T00:00:00ZA 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.
2016-01-01T00:00:00Z