Lindsay Davenport showed no signs of the shoulder and arm problems she brought to the U.S. Open, beating Jelena Kostanic of Croatia 6-0, 6-0 Thursday to reach the third round.

It was the first love-and-love match _ a ``double bagel,'' in tennis terms _ at the U.S. Open since 2002, when Venus Williams beat Mirjana Lucic by that score in the first round.

``Some days, everything just seems to be working,'' said Davenport, the 1998 champion and seeded 10th this year. ``These days don't happen that often, so you have to be happy when they come your way.''

Another past U.S. Open champion, 2004 winner Svetlana Kuznetsova, also faced little resistance in the second round Wednesday. She beat 16-year-old American Lauren Albanese 6-1, 6-1 in under an hour.

While Davenport was enjoying her breakfast bagels, a crowd formed outside the fence at the practice courts. That's where Andre Agassi warmed up.

In what again could be his final match as a pro, Agassi faced No. 8 Marcos Baghdatis at night. Agassi was to play a day after getting a cortisone shot for an ailing back.

``The inflammation was pretty bad, and I just don't want to go off the court limping,'' Agassi told USA Network. ``It's not what I want to do.''

After wrapping up his session, the 36-year-old Agassi made a teenager's morning wait worth it, signing the boy's forehead with a Sharpie.

Former Open champion Andy Roddick said he expected a game effort from Agassi.

``I've never had a cortisone shot, but from what I've heard, you feel like you can run through walls,'' Roddick said. ``He's been playing through that pain for a couple of years now, so I think he's used to it.''

Davenport didn't face a break point, compiled 11, and produced a 24-2 edge in winners. The match took all of 40 minutes.

``I knew I had to come back tomorrow again and play, so I was trying to get out of here relatively fast. Not that fast,'' said Davenport, who quit during the final of a hard-court tuneup in New Haven, Conn., last weekend because of fatigue and soreness in her right arm.