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Generalizing Tanisaki's ideal via ideals of truncated symmetric functions
Generalizing Tanisaki's ideal ideals of truncated symmetric functions
2011/1/19
We de ne a family of ideals Ih in the polynomial ring Z[x1; x2; : : : ; xn] that are
parametrized by Hessenberg functions h (equivalently Dyck paths or ample partitions). The
ideals Ih generalize al...
Toric plurisubharmonic functions and analytic adjoint ideal sheaves
Toric plurisubharmonic functions analytic adjoint ideal sheaves
2010/11/19
In the first part of this paper, we study the properties of some particular plurisubharmonic functions, namely the toric ones. The main result of this part is a precise description of their multiplier...
Every Banach ideal of polynomials is compatible with an operator ideal
Polynomial ideals operator ideals
2010/11/30
We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polyn...
Denting Points in Bochner Banach Ideal Spaces X(E)
Denting Points Bochner Banach Ideal Spaces X(E)
2009/1/20
Let $(X, \|.\|_{X})$ be an order-continuous Banach ideal space over a $\sigma-$ finite measure space $(\Omega,\Sigma,\mu)$ and $E$ a Banach space. We prove that a function $f$ of the vector Banach ide...
Interpolation of Ideal Measures by Abstract $K$ and $J$ Spaces
real interpolation ideal measures operator ideals shift operators
2007/12/10
We work with the abstract K and J interpolation method generated by a sequence lattice $\Gamma$. We investigate the deviation of an interpolated operator from a given operator ideal by establishing fo...