Here is a list of well known eBooks about online auctions:

• 101 Auction Secrets by Tim Campbell
• Auction Explosion by Maria Vowell
• Auction Prophet
• Auction Hints by Jim Wilson
• Auction Money Machine

Most of these books can be bought on eBay itself.

Here are just a few things to think about when running your own business selling things on eBay.

• Designing attractive ads
• Deciding on the best products to sell
• Good online business practices
• Dealing with customer queries efficiently
• Customer payment methods (like PayPal)
• Setting up your own merchant account
• Using Listing Management Services (such as Andale)
• Dealing with Spam eMail (i.e. using an secure email service like Eudora)
• Saving time at the post office
• Avoiding bouncing cheques
• Best Listing times
• Using pictures on your auctions
• Customer care
• Listing descriptions
• Terms and conditions
• Shipping charges
• Leaving negative feedback
• Dispatching your order
• Care with spelling
• Professional Selling
• Insuring Valuable Items
• International Payment
• Best ways of starting out
• Use of eBay's Listing Enhancements
• Pricing Tips
• Promoting your listings outside of eBay
• Readability of your ads
• Sales Killers - what not to do
• Using Free Counters for your auction listings
• Packaging
• Improving your advertisements
• learning and using HTML for your ad design
• re-lising strategies
• Creating and selling your own e-books
• Understanding and using Dutch Auctions
• Best Days and periods to begin and end your listings
• creating you own "about me" page
• Foreign Currency considerations
• Starting auctions at too high a price
• more help from auction newsgroups and message boards
• using ebay community sections
• Logistical concerns
• Dealing with difficult people
• Organizing your business
• Managing your time
• Using Auction Reserves
• Selling on behalf of other people
• Testing your auction ads
• notorious auction personality types
• using clip art
• saving time and money by using re-listing options
• Making your listing titles stand out
• Making your products searchable
• Finding sources of products to sell
• Making use of search engines
• Newsletters and mailing lists
• Choosing appropriate listing categories
• optimizing graphics for your pictures
• protecting your data
• Keeping track of your auctions
• Tax matters
• Using a web site with your auctions
• Selling Information products
• Boosting your profits by up-selling
• realizing your customers lifetime value
• Useful software and programs to use
• Using eBay's Turbo Lister
• Saving time at the post office
• Best Times to ship your items
• Dealing with disputes and leaving good feedback

Most of the books above give very good advice on these topics.

For buyers and volume sellers here are a few things to consider

• Item Alerts
• Sniping tools (bidding at the last minute)
• Using seller tools like Selling Manager Pro
• Detecting dishonest sellers
• Detecting dishonest buyers
• Developing your own selling tools using eBay's API's