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Volume 40 (2004)
- Issue 4 Pages 1113-
- Issue 3 Pages 625-
- Issue 2 Pages 311-
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Volume 40, Issue 1
Displaying 1-9 of 9 articles from this issue
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Gerardo Chacón, Vicente Montesinos, Alfredo Octavio2004 Volume 40 Issue 1 Pages 1-6
Published: 2004
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSWe show that reflexivity of a Banach space can be characterized by a simple property formulated in terms of the distance to the intersection of a decreasing countable family of closed subspaces. We provide some explicit examples of the failure of the property in the non-reflexive case.View full abstractDownload PDF (125K) -
Christopher Boyd, Seán Dineen, Milena Venkova2004 Volume 40 Issue 1 Pages 7-27
Published: 2004
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSFor a locally convex space E we use the Aron-Berner extension to define canonical mappings from \widehat{\underset{s, n, π}{\bigotimes}} Ee'' into different duals of \mathcal{P}(nE). We investigate necessary and sufficient conditions for the continuity of these mappings, paying particular attention to three special cases — Fréchet spaces, DF spaces and reflexive A-nuclear spaces. We define Q-reflexive spaces as spaces where a certain canonical mapping can be extended to an isomorphism between \widehat{\underset{s, n, π}{\bigotimes}} Ee'' and \overline{(\mathcal{P}(nE), τb)i'}. We find examples of such spaces.View full abstractDownload PDF (236K) -
Naomasa Ueki2004 Volume 40 Issue 1 Pages 29-90
Published: 2004
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSA Wegner estimate is proven for a Schrödinger operator with a bounded random vector potential and a Gaussian random scalar potential. The estimate is used to prove the strong dynamical localization and the exponential decay of the eigenfunctions. For the proof, Klopp's method using a vector field on a probability space and Germinet and Klein's bootstrap multiscale analysis are applied. Moreover Germinet and Klein's characterization of the Anderson metal-insulator transport transition is extended to the above operator.View full abstractDownload PDF (450K) -
Robert Dalmasso2004 Volume 40 Issue 1 Pages 91-123
Published: 2004
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSWe consider the following overdetermined boundary value problem: Δu=−λu−μ in Ω, u=0 on ∂Ω and \frac{∂u}{∂n}=ψ on ∂Ω, where λ and μ are real constants and Ω is a smooth bounded planar domain. A very interesting problem is to examine whether one can identify the constants λ and μ from knowledge of the normal flux \frac{∂u}{∂n} on ∂Ω corresponding to some nontrivial solution. It is well known that if Ω is a disk then such identification of (λ, μ) is completely impossible. Some partial results have already been obtained. The purpose of this paper is to extend and to improve these results. Moreover we also examine the interesting case where ψ is constant.View full abstractDownload PDF (257K) -
Boris Feigin, Michio Jimbo, Tetsuji Miwa, Eugene Mukhin, Yoshihiro Tak ...2004 Volume 40 Issue 1 Pages 125-162
Published: 2004
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSWe obtain the fermionic formulas for the characters of (k, r)-admissible configurations in the case of r=2 and r=3. This combinatorial object appears as a label of a basis of certain subspace W(Λ) of level-k integrable highest weight module of \widehat{\mathfrak{sl}}r. The dual space of W(Λ) is embedded into the space of symmetric polynomials. We introduce a filtration on this space and determine the components of the associated graded space explicitly by using vertex operators. This implies a fermionic formula for the character of W(Λ).View full abstractDownload PDF (346K) -
Boris Feigin, Michio Jimbo, Tetsuji Miwa, Eugene Mukhin, Yoshihiro Tak ...2004 Volume 40 Issue 1 Pages 163-220
Published: 2004
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSFor all k, we construct a bijection between the set of sequences of non-negative integers a=(ai)i∈Z≥0 satisfying ai+ai+1+ai+2≤k and the set of rigged partitions (λ, ρ). Here λ=(λ1, ..., λn) is a partition satisfying k≥λ1≥…≥λn≥1 and ρ=(ρ1, ..., ρn)∈Z≥0n is such that ρj≥ρj+1 if λj=λj+1. One can think of λ as the particle content of the configuration a and ρj as the energy level of the j-th particle, which has the weight λj. The total energy ∑iiai is written as the sum of the two-body interaction term ∑j<j' Aλj, λj' and the free part ∑jρj. The bijection implies a fermionic formula for the one-dimensional configuration sums ∑a q∑iiai. We also derive the polynomial identities which describe the configuration sums corresponding to the configurations with prescribed values for a0 and a1, and such that ai=0 for all i>N.View full abstractDownload PDF (449K) -
Jose G. Llavona, Luiza A. Moraes2004 Volume 40 Issue 1 Pages 221-230
Published: 2004
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSLet E=F′ where F is a complex Banach space and let π1:E″=E⊕F⊥→E be the canonical projection. Let P(nE) be the space of the complex valued continuous n-homogeneous polynomials defined in E. We characterize the elements P∈P(nE) whose Aron-Berner extension coincides with P{\circ}π1. The case of weakly continuous polynomials is considered. Finally we also study the same problem for holomorphic functions of bounded type.View full abstractDownload PDF (170K) -
Osamu Fujino2004 Volume 40 Issue 1 Pages 231-237
Published: 2004
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSThere does not exist an infinite sequence of 4-fold canonical flips.View full abstractDownload PDF (127K) -
Sunao Ouchi2004 Volume 40 Issue 1 Pages 239-294
Published: 2004
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSConsider the linear partial differential equation P(z, ∂z)u(z)=f(z) in \mathbb{C}d+1, where f(z) is not holomorphic on K={z0=0}, but it has an asymptotic expansion with respect to z0 as z0 → 0 in some sectorial region. We show under some conditions on P(z, ∂z) that there exists a solution u(z) which has an asymptotic expansion of the same type as that of f(z).View full abstractDownload PDF (466K)
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