W. Linde

activity

20062012

most citedCompactness Properties of Weighted Summation Operators on Trees

17 citations · 24 across the 5 of their papers we have counts for

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Showing 2010Show all

3 papers · 1 filter

math.PR2010

Random Gaussian sums on trees

Mikhail Lifshits, Werner Linde

Let $T$ be a tree with induced partial order $⪯$ . We investigate centered Gaussian processes $X = (X_{t})_{t \in T}$ represented as $X_{t} = σ (t) v ⪯ t \sum α (v) ξ_{v}$ for giv…

math.FA2010

Compactness properties of weighted summation operators on trees - the critical case

Mikhail Lifshits, Werner Linde

The aim of this paper is to provide upper bounds for the entropy numbers of summation operators on trees in a critical case. In a recent paper [10] we elaborated a framework of wei…

math.FA2010★ 17 cited

Compactness Properties of Weighted Summation Operators on Trees

Mikhail Lifshits, Werner Linde

We investigate compactness properties of weighted summation operators $V_{α, σ}$ as mapping from $ℓ_{1} (T)$ into $ℓ_{q} (T)$ for some $q \in (1, \infty)$ . Those operators are defined…