1,723,753 research outputs found
The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp)
No full textWe study the gE-approximation property for the Banach space E=ℓq(ℓp), which is an extension of Saphar’s p-approximation property. We establish some characterizations of the gE-approximation property using the space of E-summing operators, which is an extension of the space of p-summing operators
Shift invariant preduals of ℓ<sub>1</sub>(ℤ)
No full textThe Banach space ℓ<sub>1</sub>(ℤ) admits many non-isomorphic preduals, for
example, C(K) for any compact countable space K, along with many more
exotic Banach spaces. In this paper, we impose an extra condition: the predual
must make the bilateral shift on ℓ<sub>1</sub>(ℤ) weak<sup>*</sup>-continuous. This is
equivalent to making the natural convolution multiplication on ℓ<sub>1</sub>(ℤ)
separately weak*-continuous and so turning ℓ<sub>1</sub>(ℤ) into a dual Banach
algebra. We call such preduals <i>shift-invariant</i>. It is known that the
only shift-invariant predual arising from the standard duality between C<sub>0</sub>(K)
(for countable locally compact K) and ℓ<sub>1</sub>(ℤ) is c<sub>0</sub>(ℤ). We provide
an explicit construction of an uncountable family of distinct preduals which do
make the bilateral shift weak<sup>*</sup>-continuous. Using Szlenk index arguments, we
show that merely as Banach spaces, these are all isomorphic to c<sub>0</sub>. We then
build some theory to study such preduals, showing that they arise from certain
semigroup compactifications of ℤ. This allows us to produce a large number
of other examples, including non-isometric preduals, and preduals which are not
Banach space isomorphic to c<sub>0</sub>
Linked collectors and determiners for: Colección de Ofidios Museo de La Salle Bogotá (MLS).
No full textNatural history specimen data linked to collectors and determiners held within, "Colección de Ofidios Museo de La Salle Bogotá (MLS)". Claims or attributions were made on Bionomia by volunteer Scribes, <a href="http://bionomia.net/dataset/550ade26-0e93-4ffe-8467-9942382ba3ed">https://bionomia.net/dataset/550ade26-0e93-4ffe-8467-9942382ba3ed</a> using specimen data from the dataset aggregated by the Global Biodiversity Information Facility, <a href="https://gbif.org/dataset/550ade26-0e93-4ffe-8467-9942382ba3ed">https://gbif.org/dataset/550ade26-0e93-4ffe-8467-9942382ba3ed</a>. Formatted as a Frictionless Data package
Linked collectors and determiners for: Colección de Ofidios Museo de La Salle Bogotá (MLS).
No full textNatural history specimen data linked to collectors and determiners held within, "Colección de Ofidios Museo de La Salle Bogotá (MLS)". Claims or attributions were made on Bionomia by volunteer Scribes, <a href="http://bionomia.net/dataset/550ade26-0e93-4ffe-8467-9942382ba3ed">https://bionomia.net/dataset/550ade26-0e93-4ffe-8467-9942382ba3ed</a> using specimen data from the dataset aggregated by the Global Biodiversity Information Facility, <a href="https://gbif.org/dataset/550ade26-0e93-4ffe-8467-9942382ba3ed">https://gbif.org/dataset/550ade26-0e93-4ffe-8467-9942382ba3ed</a>. Formatted as a Frictionless Data package
Linked collectors and determiners for: K herbarium - Royal Botanic Gardens, Kew - Amostras Brasileiras Repatriadas - Herbário Virtual REFLORA.
No full textNatural history specimen data linked to collectors and determiners held within, "K herbarium - Royal Botanic Gardens, Kew - Amostras Brasileiras Repatriadas - Herbário Virtual REFLORA". Claims or attributions were made on Bionomia by volunteer Scribes, <a href="http://bionomia.net/dataset/ebed4456-76d2-408c-8467-fd66be066521">https://bionomia.net/dataset/ebed4456-76d2-408c-8467-fd66be066521</a> using specimen data from the dataset aggregated by the Global Biodiversity Information Facility, <a href="https://gbif.org/dataset/ebed4456-76d2-408c-8467-fd66be066521">https://gbif.org/dataset/ebed4456-76d2-408c-8467-fd66be066521</a>. Formatted as a Frictionless Data package
New Modular Fixed-Point Theorem in the Variable Exponent Spaces ℓp(.)
No full textIn this work, we prove a fixed-point theorem in the variable exponent spaces ℓp(.), when p−=1 without further conditions. This result is new and adds more information regarding the modular structure of these spaces. To be more precise, our result concerns ρ-nonexpansive mappings defined on convex subsets of ℓp(.) that satisfy a specific condition which we call “condition of uniform decrease”
Going Beyond Counting First Authors in Author Co-citation Analysis
No full textThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Extremal Results on ℓ-Connected Graphs or Pancyclic Graphs Based on Wiener-Type Indices
No full textA graph of order n is called pancyclic if it contains a cycle of length y for every 3≤y≤n. The connectivity of an incomplete graph G, denoted by κ(G), is min{|W||WisavertexcutofG}. A graph G is said to be ℓ-connected if the connectivity κ(G)≥ℓ. The Wiener-type indices of a connected graph G are Wg(G)=∑{s,t}⊆V(G)g(dG(s,t)), where g(x) is a function and dG(s,t) is the distance in G between s and t. In this note, we first determine the minimum and maximum values of Wg(G) for ℓ-connected graphs. Then, we use the Wiener-type indices of graph G, the Wiener-type indices of complement graph G¯ with minimum degree δ(G)≥2 or δ(G)≥3 to give some sufficient conditions for connected graphs to be pancyclic. Our results generalize some existing results of several papers
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