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NONSTANDARD LORENTZ SPACE FORMS
lorentz Space form
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2015/9/29
In their recent paper [8], Kulharni and Raymond show that a closed
3-manifold which admits a complete Lorentz metric of constant curvature 1
(henceforth called a complete Lorentz structure) must be ...
THE FUNDAMENTAL GROUP OF A COMPACT FLAT LORENTZ SPACE FORM IS VIRTUALLY POLYCYCLIC
lorentz Multi-loop spatial form
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2015/9/29
A flat Lorentz space form is a geodesically complete Lorentzian manifold of
zero curvature. It is well known (see Auslander & Markus [3]) that such a space
M may be represented as a quotient Rw
/Γ,...
MONTE CARLO SAMPLING IN DUAL SPACE FOR APPROXIMATING THE EMPIRICAL HALFSPACE DISTANCE
SPACE FOR APPROXIMATING EMPIRICAL HALFSPACE DISTANCE
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2015/8/20
The Kolmogorov]Smirnov distance is an important tool for constructing confidence sets and tests in univariate problems. In multivariate
settings, an analogous role is played by the halfspace di...
A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into P n
Genus-One Stable Maps Moduli
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2015/7/14
We construct a natural smooth compacti cation of the space of smooth genus-one curves with
k distinct points in a projective space. It can be viewed as an analogue of a well-known smooth
compacti ca...
A DESCRIPTION OF THE OUTER AUTOMORPHISM OF S6, AND THE INVARIANTS OF SIX POINTS IN PROJECTIVE SPACE
PROJECTIVE SPACE OUTER AUTOMORPHISM
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2015/7/14
The latter two descriptions do
not distinguish any of the six points. Of course, these descriptions are equivalent to the
traditional one (x1.4) there is after all only one nontrivial outer automor...
THE MODULI SPACE OF CURVES AND ITS TAUTOLOGICAL RING
CURVES ITS TAUTOLOGICAL RING
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2015/7/14
The moduli space of curves has proven itself a central object in geometry. The past
decade has seen substantial progress in understanding the moduli space of curves, involving ideas, for example, fro...
Estimates for approximation numbers of some classes of composition operators on the Hardy space
approximation numbers Blaschke product composition operator cusp map Hardy space modulus of continuity Schatten classes
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2012/6/21
We give estimates for the approximation numbers of composition operators on $H^2$, in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get that these approxim...
A hereditarily indecomposable Banach space with rich spreading model structure
Spreading models Strictly singular operators Reflexive spaces Hereditarily indecomposable spaces
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2012/6/25
We present a reflexive Banach space $\mathfrak{X}_{_{^\text{usm}}}$ which is Hereditarily Indecomposable and satisfies the following properties. In every subspace $Y$ of $\mathfrak{X}_{_{^\text{usm}}}...
Heat equation for weighted Banach space valued function spaces
Laplace operator holomorphic semigroups weighted Banach space valued function spaces Functional Analysis
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2012/6/21
We study the homogeneous equation (*) $ u' = \Delta u$, $t > 0$, $u(0)=f\in wX$, where $wX$ is a weighted Banach space, $w(x)= (1+||x||)^k$, $x\in \r^n$ with $k\ge 0$, $ \Delta$ is the Laplacian, $Y$ ...
A type (4) space in (FR)-classification
Classification of Banach spaces quasi-minimal tight Banach spaces Functional Analysis
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2012/6/19
We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers' classification pro...
Dependence of Kolmogorov widths on the ambient space
Dependence of Kolmogorov widths ambient space Functional Analysis
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2012/5/9
We study the dependence of the Kolmogorov widths of a compact set on the ambient Banach space.
A generalized Young inequality and some new results on fractal space
Dfractal real line number system fractional set generalized Young inequality
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2011/9/21
Abstract: Starting with real line number system based on the theory of the Yang's fractional set, the generalized Young inequality is established. By using it some results on the generalized inequalit...
On the operator space $OUMD$ property for the column Hilbert space $C$
column Hilbert space operator space Functional Analysis
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2011/9/20
Abstract: The operator space $OUMD$ property was introduced by Pisier in the context of verctor-valued noncommutative $L_p$-spaces. It is still unknown whether the property is independent of $p$ in th...
Ekeland's Variational Principle for An $\bar{L}^{0}-$Valued Function on A Complete Random Metric Space
Random metric space random normed module L0− valued function lower semicontinuity Ekeland’s variational principle
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2011/9/20
Abstract: Motivated by the recent work on conditional risk measures, this paper studies the Ekeland's variational principle for a proper, lower semicontinuous and lower bounded $\bar{L}^{0}-$valued fu...
Quasihomogeneous Toeplitz operators on the harmonic Bergman space
Toeplitz operator harmonic Bergman space quasihomogeneous symbol Mellin transform
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2011/9/15
Abstract: In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane C. Mainly, we discuss when the product of two quasihomogeneous To...