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Start Over Coverage 1-9 Format bez média Language English Type model:article

1. A study of various results for a class of entire Dirichlet series with complex frequencies

Creator:
Kumar, Niraj and Manocha, Garima
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Dirichlet series, Banach algebra, topological zero divisor, division algebra, continuous linear functional, and total set
Language:
English
Description:
Let F be a class of entire functions represented by Dirichlet series with complex frequencies ∑ ake hλ k ,zi for which (|λ k |/e)|λ k | k!|ak| is bounded. Then F is proved to be a commutative Banach algebra with identity and it fails to become a division algebra. F is also proved to be a total set. Conditions for the existence of inverse, topological zero divisor and continuous linear functional for any element belonging to F have also been established.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Further new generalized topologies via mixed constructions due to Császár

Creator:
Ekici, Erdal
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
mixed construction, generalized topology, generalized topological space, weak generalized topology, countable subcover, µ C 12-open set, µC -open set, µ C ∗ -open set, and countable set
Language:
English
Description:
The theory of generalized topologies was introduced by Á. Császár (2002). In the literature, some authors have introduced and studied generalized topologies and some generalized topologies via generalized topological spaces due to Á. Császár. Also, the notions of mixed constructions based on two generalized topologies were introduced and investigated by Á. Császár (2009). The main aim of this paper is to introduce and study further new generalized topologies called µ C 12 via mixed constructions based on two generalized topologies µ1 and µ2 on a nonempty set X and also generalized topologies called µC and µ C ∗ for a generalized topological space (X, µ).
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Hypersurfaces in $\mathbb R^n$ and critical points in their external region

Creator:
Manchón, P. M. G.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
hypersurface in $\mathbb R^n$, nondegenerate critical point, noncompact Morse Theory, h-cobordism, and Palais-Smale condition
Language:
English
Description:
In this paper we study the hypersurfaces $M^n$ given as connected compact regular fibers of a differentiable map $f: \mathbb R^{n+1} \rightarrow \mathbb R$, in the cases in which $f$ has finitely many nondegenerate critical points in the unbounded component of $\mathbb R^{n+1} - M^n$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. On a certain construction of lattice expansions

Creator:
Gramaglia, Hector
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
lattice expansions, subdirectly irreducibles, and triples
Language:
English
Description:
We obtain a simple construction for particular subclasses of several varieties of lattice expansions. The construction allows a unified approach to the characterization of the subdirectly irreducible algebras.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

5. On invariant subspaces for polynomially bounded operators

Creator:
Liu, Junfeng
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
matematika, mathematics, invariantní podprostory, polynomially bounded operator, invariant subspace, 13, and 51
Language:
English
Description:
We discuss the invariant subspace problem of polynomially bounded operators on a Banach space and obtain an invariant subspace theorem for polynomially bounded operators. At the same time, we state two open problems, which are relative propositions of this invariant subspace theorem. By means of the two relative propositions (if they are true), together with the result of this paper and the result of C. Ambrozie and V. Müller (2004) one can obtain an important conclusion that every polynomially bounded operator on a Banach space whose spectrum contains the unit circle has a nontrivial invariant closed subspace. This conclusion can generalize remarkably the famous result that every contraction on a Hilbert space whose spectrum contains the unit circle has a nontrivial invariant closed subspace (1988 and 1997)., Junfeng Liu., and Obsahuje bibliografii
Rights:
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6. The dual of the space of functions of bounded variation

Creator:
Aye, Khaing Khaing and Lee, Peng Yee
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
bounded variation, two-norm space, dual space, linear functional, Henstock integral, Stieltjes integral, and regulated function
Language:
English
Description:
In the paper, we show that the space of functions of bounded variation and the space of regulated functions are, in some sense, the dual space of each other, involving the Henstock-Kurzweil-Stieltjes integral.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public