Minimal open sets on generalized topological space

We introduce the notion of minimal open sets in a generalized topological space (X μ). We investigate some of their fundamental properties and proved that any subset of a minimal open set on a GTS (X μ) is a μ-preopen se

On property (Saw) and others spectral properties type Weyl-Browder theorems

An operator T acting on a Banach space X satisfies the property (aw) if σ(T) \ σw(T) = Ea(T), where σw(T) is the Weyl spectrum of T and Eo a(T) is the set of all eigenvalues of T of finite multiplicity that are isolated in the approximate point spectrum of T. In this paper we introduce and study two new spectral properties, namely (Saw) and (Sab), in connection with Weyl-Browder type theorems. Among other results, we prove that T satisfies property (Saw) if and only if T satisfies property (aw) and σSBF-+(T) = σw(T), where σSBF-+ (T) is the upper semi B-Weyl spectrum of T

On [Y, Y']-semiopen sets

En este trabajo se introduce el concepto de conjuntos semiabiertos [; 0] y sus funciones relacionadas en espacios topológicos.In this work we introduce and study the concept of [Y,Y']-semiopen sets and their related functions in topological spaces

Weakly ω-continuous functions in bitopological spaces

In this paper, as a generalization of u-ω-continuous functions, we introduce the notion of weakly ω-continuous functions in bitopological spaces and obtain several characterizations and some of its properties

On (mX;mY) -approximately semi open maps between mX-spaces

In this article, the notion of (mX;mY ){approximately semi open maps between m{spaces is given as a generalization of the concept of approx- imately semi open maps. Also some characterizations of (mX;mY ){ approximately semi open maps are given.En este artculo se da la nocion de mapeos semi abiertos aproximada- mente (mX;mY ) entre m{espacios como una generalizacion del concepto de mapeos aproximadamente semi abiertos. Tambien se dan algunas ca- racterizaciones de los mapeos aproximadamente semi abiertos (mX;mY )

Properties of faintly ω-continuous functions

in [3] the authors, introduced the notion of faint ω-continuity intopological spaces. In this paper, we investigate new characterizations of this type of continuity.en [3], los autores introdujeron la nocion de ω-continuidad débil en espacios topologicos. En este artículo, investigamos nuevas caracterizaciones de este tipo de continuida

On -sets and decomposition of continuity via bioperations

The aim of the present paper is to introduce and study the notions of LC-set and LC continuity via biopeation. We discuss some properties of these notions

Bitopological weak continuous multifunctions

In this paper, we introduce and study the concept of a new type of weak continuous multifunctions between bitopological spaces

On Upper and Lower Faintly ω-Continuous Multifunctions

The aim of this paper is to introduce and study upper and lower faintly ω-continuous multifunctions as a generalization of upper and lower ω- continuous multifunctions, respectively due to ZorlutunaEl propósito de este artículo es introducir y estudiar multifun- ciones débilmente ω-continua superior y multifunciones débilmente ω-continua inferior, como una generalización de las multifunciones ω-continua superior y las multifunciones ω-continua inferior, respectivamente, dadas por Zorlutun

On spectral properties and extensions of bounded linear operators

If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spectral properties introduced recently are transmitted from an operator T to T and vice-versa.Si T es un operador lineal acotado en algún espacio de Banach y T tiene una extensión limitada T en otro espacio. En general, casi nada se puede decir sobre la relación entre las propiedades espectrales de T y T. En este trabajo, damos varias condiciones suficientes para que un gran número de propiedades espectrales introducidas recientemente se transmiten de un operador T a T y viceversa