There are a couple of different remote control technologies. Point to point Radio frequency, networked radio frequency and IrDA...or infrared diode.
Your Sanyo GXBM is an IrDA based remote. The diode is a lot like a lamp, only the signal it sends would be easier sensed by people as a change in temperature if it were strong enough.
Over time, the IrDA LED can degrade and will eventually fail. The transmitter in the remote can also fall out of spec over time, and the remote receiver in the TV lose its tune to the specific frequency that the remote broadcasts, making it harder to 'hear' he remote commands.
Other common issues for losing the range you had when it was new is clouding or scratching of either of the protective lenses on the TV and the remote.
i have included a direct replacement part for your GXBM
SANYO GXBC TV Remote Control
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