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A characterization of compact operators via the non-connectedness of the attractors of a family of IFSs
compact operators the non-connectedness family of IFSs
2010/11/8
In this paper we present a result which establishes a connection between the theory of compact operators and the theory of iterated function systems. For a Banach space X, S and T bounded linear oper...
Small Ball Probabilities for Smooth Gaussian fields and Tensor Products of Compact Operators
Small deviations slowly varying functions smooth covariances
2010/12/10
We find the logarithmic L2-small ball asymptotics for a class of zero mean Gaussian fields with covariances having the structure of “tensor product”. The main condition imposed on marginal covariances...
Another Version of Anderson's Inequality in the Ideal of all Compact Operators
Generalized derivation Orthogonality Compact operators
2008/7/3
Another Version of Anderson's Inequality in the Ideal of all Compact Operators.
Young's Inequality In Compact Operators - The Case Of Equality
Young's Inequality compact normal operator Hilbert space
2008/6/26
If and are compact operators acting on a complex separable Hilbert space, and if satisfy , then there exists a partial isometry such that the initial space of is and Furthermore, if is injectiv...
The Order Properties of $r$-compact Operators on Banach Lattices
Banach lattice KB-space regular norm order continuous norm $r$-compact operator
2007/12/11
We present here that ${\mathscr F}(E, F)$, the space of all $r$-compact operators from $E$ into $F$, is a generalised sublattice of ${\mathscr L}^r(E, F)$ for arbitary Banach lattices $E$ and $F$, and...