Do you think that Loman Willy in the Death of a salesman is a tragic hero?

"Despite his desperate searching through his past, Willy does not achieve the self-realization or self-knowledge typical of the tragic hero. The quasi-resolution that his suicide offers him represents only a partial discovery of the truth. While he achieves a professional understanding of himself and the fundamental nature of the sales profession, Willy fails to realize his personal failure and betrayal of his soul and family through the meticulously constructed artifice of his life. He cannot grasp the true personal, emotional, spiritual understanding of himself as a literal “loman” or “low man.” Willy is too driven by his own “willy”-ness or perverse “willfulness” to recognize the slanted reality that his desperate mind has forged. Still, many critics, focusing on Willy’s entrenchment in a quagmire of lies, delusions, and self-deceptions, ignore the significant accomplishment of his partial self-realization. Willy’s failure to recognize the anguished love offered to him by his family is crucial to the climax of his torturous day, and the play presents this incapacity as the real tragedy. Despite this failure, Willy makes the most extreme sacrifice in his attempt to leave an inheritance that will allow Biff to fulfill the American Dream.
Ben’s final mantra—“The jungle is dark, but full of diamonds”—turns Willy’s suicide into a metaphorical moral struggle, a final skewed ambition to realize his full commercial and material capacity. His final act, according to Ben, is “not like an appointment at all” but like a “diamond . . . rough and hard to the touch.” In the absence of any real degree of self-knowledge or truth, Willy is able to achieve a tangible result. In some respect, Willy does experience a sort of revelation, as he finally comes to understand that the product he sells is himself. Through the imaginary advice of Ben, Willy ends up fully believing his earlier assertion to Charley that “after all the highways, and the trains, and the appointments, and the years, you end up worth more dead than alive.” "

Willy does not have the stature of a classic tragic hero.