Results 41 to 50 of about 585,597 (266)

Some special characterisations of Fredholm operators in Banach space

open access: yesBibechana, 2014
A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays
Mahendra Shahi
doaj   +3 more sources

On semiprime rings of bounded index [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
A ring R R is of bounded index (of nilpotency) if there is an integer n ⩾ 1 n \geqslant 1 such that x n = 0 {x^n} = 0 whenever x ∈ R x \in R is nilpotent. The least
openaire   +1 more source

The unbounded commutant of an operator of class C_0

open access: yes, 2009
We describe the closed, densely defined linear transformations commuting with a given operator T of class C_0 in terms of bounded operators in {T}'.
Bercovici, Hari
core   +1 more source

Sums of Functions of Bounded Index [PDF]

open access: yesProceedings of the American Mathematical Society, 1969
Introduction. The notion of entire functions of bounded index has been studied by several authors in a number of recent papers [1], [2], [3], [4]. Little is known about the properties of such functions, and, in particular, the following "natural" question (which is answered in this note) does not appear to have been studied. Is the sum of two functions
openaire   +2 more sources

The ranks of central factor and commutator groups

open access: yes, 2012
The Schur Theorem says that if $G$ is a group whose center $Z(G)$ has finite index $n$, then the order of the derived group $G'$ is finite and bounded by a number depending only on $n$. In the present paper we show that if $G$ is a finite group such that
Adian   +6 more
core   +1 more source

Bounds on the Balaban index

open access: yesCroatica Chemica Acta, 2008
The Balaban index of a connected (molecular) graph G is defined as [GRAPHICS], where m is the number of edges, mu is the cyclomatic number, D-u is the sum of distances between vertex u and all other vertices of G, and the summation goes over all edges from the edge set E(G).
Zhou, Bo, Trinajstić, Nenad
openaire   +5 more sources

Entropy zero area preserving diffeomorphisms of $S^2$

open access: yes, 2012
In this paper we formulate and prove a structure theorem for area preserving diffeomorphisms of genus zero surfaces with zero entropy. As an application we relate the existence of faithful actions of a finite index subgroup of the mapping class group of ...
Bowen   +14 more
core   +1 more source

Stronger 3SUM-Indexing Lower Bounds

open access: yes, 2023
The 3SUM-Indexing problem was introduced as a data structure version of the 3SUM problem, with the goal of proving strong conditional lower bounds for static data structures via reductions. Ideally, the conjectured hardness of 3SUM-Indexing should be replaced by an unconditional lower bound.
Chung, Eldon, Larsen, Kasper Green
openaire   +4 more sources

Bounded index and summability methods [PDF]

open access: yesJournal of the Australian Mathematical Society, 1976
An entire function f(z) is of bounded index if there exists a non-negative integer N such that . The least such integer N is called the index of f (se Lepson (1966)).
Fricke, G. H., Powell, R. E.
openaire   +2 more sources

Clinical Insights Into Hypercalcemia of Malignancy in Childhood

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley   +1 more source

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