Using "Trust" in the beginning of sentences

[nohams]

Hello,

What is the meaning/ implication of using "Trust" in the beginning of sentences?
Example: Trust you are doing well, Trust you completed the assignment


Thanks in Advance!

 

[Giordano Bruno]

The pronoun 'I' is implied.

 

[nohams]

Yes, but, I mean using the word "Trust". What is the benefit of using it?
For example, why would I use "Trust you are doing well" rather than "hope you are doing well"?

Thanks!

 

[Giordano Bruno]

Trust suggests a greater degree of confidence that the supposition is correct.