Injective And Closed Range Iff Bounded Below functional-analysis Jan 16, 2024 a bounded linear map T between Banach spaces is injective with closed range if and only if it is bounded below show that T is injective and has closed range ⟺∃c>0,∀x∈E,∥T(x)∥≥c∥x∥ PREVIOUSGalois group of polynomials $x^n-a$NEXTno integer solutions to $y^2+37=x^3$