Is there any security software for the aspire one Netbook like Norton or Macafee for windows PCs?

what is aspire one ?

don't tell me that is a laptop...tell that that is an operating system

THe Aspire one is a netbook so its a small laptop

You wouldn't need any special security software on the Aspire One. You could use the same software used on any other GNU/Linux computer. There is currently no "security suite" type application for GNU/Linux desktops, if that's what you are after. There are, however, many security-oriented applications available (see the Security references thread to get an idea), but which ones you choose to set up depends on what threats you are trying to mitigate and how experienced you are with GNU/Linux.

On Linux you could go with:

iptables for firewall-it has several graphical interfaces
clamav for antivirus
samhain - file integrity and rootkit
rkhunter - rootkit
preludeIDS for integration with auditd, pam, log checks, OSSEC, snort, samhain and a few others

As netbooks usually have limited resources, I'd be sure you don't bog down your system. Base models usually come with less than a gig of RAM and a very small solid state drive.

They aren't like big laptops, although since most have Linux as an option, they can do more with their limited resources. Just keep in mind that the more you add, the more you're gonna be taxing that tiny thing.

Any IDS is going to be overkill, IMO, as a full set if sigs for an always-running daemon such as Snort will positively hog RAM.

SSH and/or VPN is a definite need, though, especially if you'll be visiting coffee shops and such. NoScript is another essential. IPTables also shouldn't hurt, as long as the config is light.

Just lock it down as any Linux-based system should be and you should be alright.

Yeah, I have a Dell Mini 9 with Ubuntu.