how to introduce a list of parameters for your mathematical formula

I am writing my mathematical formula in latex and I would like to create the following list. However, I want to add some more space between the indixes and the definitions and to write the definitions in Italic. How would you do that?

documentclass{article}
usepackage[utf8]{inputenc}
usepackage[super]{natbib}
usepackage{comment}
usepackage{graphicx}
usepackage{float}
usepackage{hyperref}
usepackage{amsmath}
usepackage{amssymb}
usepackage{amsfonts}
usepackage{caption}
usepackage{adjustbox}
usepackage{lipsum}
usepackage{lscape}
usepackage{multicol}
captionsetup[figure]{font=small,labelfont=bf}
captionsetup[table]{font=small,labelfont=bf}
usepackage[justification=centering]{caption}
usepackage{eurosym}
usepackage[table, dvipsnames]{xcolor} 


begin{document}
subsubsection{Indices} 
The following indices capture the dimension of the problem:

begin{itemize}
item[k]{suppliers, $kin {1,…, K}$}
vspace{-2mm}item[i]facilities, $iin {1,…, I}, I subset K$   
vspace{-2mm}item[o]OpCos, $oin {1,…, O}$
vspace{-2mm}item[j]customers, $jin {1,…, J}, J subset O$
vspace{-2mm}item[p]products, $pin {1,…, P}$
vspace{-2mm}item[g]transportation modes, $gin {1,…, G}$
vspace{-2mm}item[y]years, $yin {1,…, Y}$
end{itemize}

end{document}

Thanks!!

documentclass{article}
usepackage{enumitem} 
setlist[itemize]{font=normalfontitshapespace} 

begin{document}

begin{itemize}
itemsep-2mm
item[k]{suppliers, $kin {1,…, K}$}
item[i]facilities, $iin {1,…, I}, I subset K$   
item[o]OpCos, $oin {1,…, O}$
item[j]customers, $jin {1,…, J}, J subset O$
item[p]products, $pin {1,…, P}$
item[g]transportation modes, $gin {1,…, G}$
item[y]years, $yin {1,…, Y}$
end{itemize}


end{document}