This is the 13008th most frequent Polish word.
odeskiego
"Odeskiego" is the genitive singular form of "Odeski," meaning "of Odesa" or "Odessa" (relating to the city in Ukraine).
The word 'odeskiego' is used here as an adjective and describes the port as being associated with Odessa, the city.
Widzę pejzaż odeskiego portu z mojego okna.
I see the landscape of the Odessa port from my window.
In this case, 'odeskiego' is modifying 'życia' (life) as an adjective, linking the adjective to the unique life of Odessa.
Historie odeskiego życia są pełne przygód i radości.
Stories of Odessa life are full of adventures and joy.
Here, 'odeskiego' is used to describe bread, signifying that the bread is typical or originating from Odessa.