M. R. Koushesh

activity

20122018

most citedOne-point extensions of locally compact paracompact spaces

10 citations · 38 across the 22 of their papers we have counts for

collaborators

22 papers

math.FA2018

On closed non-vanishing ideals in $C_{B} (X)$ II; compactness properties

A. Khademi, M. R. Koushesh

For a completely regular space $X$ , let $C_{B} (X)$ be the normed algebra of all bounded continuous scalar-valued mappings on $X$ equipped with pointwise addition and multiplication a…

math.FA2017★ 3 cited

On closed subalgebras of CB(X)

M. Farhadi, M. R. Koushesh

For a completely regular space $X$ and a non-vanishing self-adjoint closed subalgebra $H$ of $C_{B} (X)$ which separates points from closed sets in $X$ we construct the Gelfand spectr…

math.GN2017

The existence of one-point connectifications

M. R. Koushesh

P. Alexandroff proved that a locally compact $T_{2}$ -space has a $T_{2}$ one-point compactification (obtained by adding a "point at infinity") if and only if it is non-compact. He also…

math.GN2017

Connectifying a space by adding one point

M. R. Koushesh

It is a classical theorem of Alexandroff that a locally compact Hausdorff space has a one-point Hausdorff compactification if and only if it is non-compact. The one-point Hausdorff…

math.FA2016

A Gelfand-Naimark type theorem

M. Farhadi, M. R. Koushesh

Let $X$ be a completely regular space. For a non-vanishing self-adjoint Banach subalgebra $H$ of $C_{B} (X)$ which has local units we construct the spectrum $sp (H)$ of $H$ …

math.FA2015★ 2 cited

Ideals in CB(X) arising from ideals in X

M. R. Koushesh

Let $X$ be a completely regular topological space. We assign to each (set theoretic) ideal of $X$ an (algebraic) ideal of $C_{B} (X)$ , the normed algebra of continuous bounded complex…

math.GN2015

Topological extensions with compact remainder

M. R. Koushesh

Let $P$ be a topological property. We study the relation between the order structure of the set of all $P$ -extensions of a completely regular space $X$ with c…

math.FA2015

Embedding normed linear spaces into C(X)

M. Fakhar, M. R. Koushesh, M. Raoofi

It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C (X)$ for some compact Hausdorff space $X$ . Here $X$ is the closed unit ball…

math.GN2014

Connectedness modulo an ideal

M. R. Koushesh

For a topological space $X$ and an ideal $H$ of subsets of $X$ we introduce the notion of connectedness modulo $H$ . This notion of connectedness naturally gener…

math.GN2013★ 3 cited

One-point connectifications

M. R. Koushesh

A space Y is called an extension of a space X if Y contains X as a dense subspace. An extension Y of X is called a one-point extension if Y-X is a singleton. Compact extensions are…

math.FA2013★ 4 cited

Continuous mappings with null support

M. R. Koushesh

Let $X$ be a (topological) space and let $I$ be an ideal in $X$ , that is, a collection of subsets of $X$ which contains all subsets of its elements and is closed under f…

math.FA2013★ 1 cited

Representations of certain Banach algebras

M. R. Koushesh

For a space $X$ denote by $C_{b} (X)$ the Banach algebra of all continuous bounded scalar-valued functions on $X$ and denote by $C_{0} (X)$ the set of all elements in $C_{b} (X)$ which vani…

math.GN2012

Embedding measure spaces

M. R. Koushesh

For a given measure space $(X, B, μ)$ we construct all measure spaces $(Y, C, λ)$ in which $(X, B, μ)$ is embeddable. The construction is modeled on the…

math.GN2012★ 1 cited

One-point extensions and local topological properties

M. R. Koushesh

A space $Y$ is called an extension of a space $X$ if $Y$ contains $X$ as a dense subspace. An extension $Y$ of $X$ is called a one-point extension of $X$ if $Y \ X$ is a si…

math.GN2012★ 1 cited

On one-point metrizable extensions of locally compact metrizable spaces

M. R. Koushesh

For a non-compact metrizable space $X$ , let $E (X)$ be the set of all one-point metrizable extensions of $X$ , and when $X$ is locally compact, let $E_{K} (X)$ den…

math.GN2012

On order structure of the set of one-point Tychonoff extensions of a locally compact space

M. R. Koushesh

If a Tychonoff space $X$ is dense in a Tychonoff space $Y$ , then $Y$ is called a Tychonoff extension of $X$ . Two Tychonoff extensions $Y_{1}$ and $Y_{2}$ of $X$ are said to be equivale…

math.GN2012★ 10 cited

One-point extensions of locally compact paracompact spaces

M. R. Koushesh

A space $Y$ is called an {\em extension} of a space $X$ if $Y$ contains $X$ as a dense subspace. Two extensions of $X$ are said to be {\em equivalent} if there is a homeomorphism b…

math.GN2012

The partially ordered set of one-point extensions

M. R. Koushesh

A space $Y$ is called an {\em extension} of a space $X$ if $Y$ contains $X$ as a dense subspace. Two extensions of $X$ are said to be {\em equivalent} if there is a homeomorphism b…

math.GN2012★ 2 cited

Compactification-like extensions

M. R. Koushesh

Let $X$ be a space. A space $Y$ is called an extension of $X$ if $Y$ contains $X$ as a dense subspace. For an extension $Y$ of $X$ the subspace $Y \ X$ of $Y$ is called the…

math.GN2012★ 9 cited

Connectedness modulo a topological property

M. R. Koushesh

Let $P$ be a topological property. We say that a space $X$ is $P$ -connected if there exists no pair $C$ and $D$ of disjoint cozero-sets of $X$ with non-${\mat…

math.FA2012

The Banach algebra of continuous bounded functions with separable support

M. R. Koushesh

We prove a commutative Gelfand--Naimark type theorem, by showing that the set $C_{s} (X)$ of continuous bounded (real or complex valued) functions with separable support on a locally…

math.FA2012★ 2 cited

Representations of certain normed algebras

M. R. Koushesh

We show that for a normal locally- $P$ space $X$ (where $P$ is a topological property subject to some mild requirements) the subset $C_{P} (X)$ of $C_b…

On closed non-vanishing ideals in CB​(X) II; compactness properties

On closed subalgebras of CB(X)

The existence of one-point connectifications

Connectifying a space by adding one point

A Gelfand-Naimark type theorem

Ideals in CB(X) arising from ideals in X

Topological extensions with compact remainder

Embedding normed linear spaces into C(X)

Connectedness modulo an ideal

One-point connectifications

Continuous mappings with null support

Representations of certain Banach algebras

Embedding measure spaces

One-point extensions and local topological properties

On one-point metrizable extensions of locally compact metrizable spaces

On order structure of the set of one-point Tychonoff extensions of a locally compact space

One-point extensions of locally compact paracompact spaces

The partially ordered set of one-point extensions

Compactification-like extensions

Connectedness modulo a topological property

The Banach algebra of continuous bounded functions with separable support

Representations of certain normed algebras

On closed non-vanishing ideals in $C_{B} (X)$ II; compactness properties