Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embeddings and Lebesgue-type inequalities for the greedy algorithm in
  Banach spaces   We obtain Lebesgue-type inequalities for the greedy algorithm for arbitrary
complete seminormalized biorthogonal systems in Banach spaces. The bounds are
given only in terms of the upper democracy functions of the basis and its dual.
We also show that these estimates are equivalent to embeddings between the
given Banach space and certain discrete weighted Lorentz spaces. Finally, the
asymptotic optimality of these inequalities is illustrated in various examples
of non necessarily quasi-greedy bases.

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The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin