City National Corp. of Beverly Hills, which is known for catering to high-net-worth individuals and businesses, has increased its Internet offerings and at the same time entered the discount brokerage business.

Many bank companies that serve the rich, such as J.P. Morgan & Co., have used the Internet to tap a broader market. For City National, the introduction last month of online trading, research, and account access was simply a better way to serve clients it already has, said Vernon C. Kozlen, executive vice president and manager of the trust and investment division.

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