diff --git a/src/symbanded/BandedCholesky.jl b/src/symbanded/BandedCholesky.jl
index e1194b15..ea922955 100644
--- a/src/symbanded/BandedCholesky.jl
+++ b/src/symbanded/BandedCholesky.jl
@@ -98,3 +98,6 @@ cholesky(A::Symmetric{T,<:BandedMatrix{T}},
 
 cholesky(A::Hermitian{T,<:BandedMatrix{T}},
     ::Val{false}=Val(false); check::Bool = true) where T = cholesky!(cholcopy(A); check = check)
+
+Base.copy(Ac::Adjoint{<:Any,<:AbstractBandedMatrix}) = BandedMatrix(Ac)
+Base.copy(Ac::Transpose{<:Any,<:AbstractBandedMatrix}) = BandedMatrix(Ac)
diff --git a/test/test_symbanded.jl b/test/test_symbanded.jl
index 80c7e10a..d2c2d7f4 100644
--- a/test/test_symbanded.jl
+++ b/test/test_symbanded.jl
@@ -185,6 +185,8 @@ end
 
         @test Ac isa Cholesky{T,<:BandedMatrix{T}}
         @test Ac.U ≈ cholesky(Matrix(A)).U
+        @test Ac.U isa LowerTriangular{T,<:BandedMatrix{T}}
+        @test Ac.L isa LowerTriangular{T,<:BandedMatrix{T}}
 
         b = rand(T,size(A,1))
         @test Ac\b ≈ Matrix(A)\b
@@ -198,6 +200,8 @@ end
 
         @test Ac isa Cholesky{T,<:BandedMatrix{T}}
         @test Ac.L ≈ cholesky(Matrix(A)).L
+        @test Ac.U isa LowerTriangular{T,<:BandedMatrix{T}}
+        @test Ac.L isa LowerTriangular{T,<:BandedMatrix{T}}
 
         b = rand(T,size(A,1))
         @test Ac\b ≈ Matrix(A)\b
@@ -211,6 +215,8 @@ end
 
         @test Ac isa Cholesky{T,<:BandedMatrix{T}}
         @test Ac.U ≈ cholesky(Matrix(A)).U
+        @test Ac.U isa LowerTriangular{T,<:BandedMatrix{T}}
+        @test Ac.L isa LowerTriangular{T,<:BandedMatrix{T}}
 
         b = rand(T,size(A,1))
         @test Ac\b ≈ Matrix(A)\b