Improve hard lesson prepared for Felix (11)

I believe the answer is:

mendelssohn

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'felix' is the definition.
Both the definition and answer are singular nouns.
Perhaps you can see a link between them that I don't see?

'improve hard lesson prepared' is the wordplay.
'improve' becomes 'mend' (mending is a kind of improving).
'hard' becomes 'h' (abbreviation used in pencil classifications).
'prepared' indicates an anagram.
'h'+'lesson'='hlesson'
'hlesson' anagrammed gives 'elssohn'.
'mend'+'elssohn'='MENDELSSOHN'

'for' acts as a link.

Can you help me to learn more?

(Other definitions for mendelssohn that I've seen before include "German composer, Felix, d. 1847" , "German romantic composer of orchestral and choral works, d. 1847" , "Elijah composer" , "Wedding March composer" , "German composer of The Hebrides, d. 1847" .)

I've seen this clue in The Times.

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