diff --git a/src/operators_sparse.jl b/src/operators_sparse.jl
index 7c12a240..155814a8 100644
--- a/src/operators_sparse.jl
+++ b/src/operators_sparse.jl
@@ -85,3 +85,11 @@ mul!(result::DenseOpType{B1,B3},M::SparseOpType{B1,B2},b::DenseOpType{B2,B3},alp
 mul!(result::DenseOpType{B1,B3},a::DenseOpType{B1,B2},M::SparseOpType{B2,B3},alpha,beta) where {B1,B2,B3} = (gemm!(alpha,a.data,M.data,beta,result.data); result)
 mul!(result::Ket{B1},M::SparseOpPureType{B1,B2},b::Ket{B2},alpha,beta) where {B1,B2} = (gemv!(alpha,M.data,b.data,beta,result.data); result)
 mul!(result::Bra{B2},b::Bra{B1},M::SparseOpPureType{B1,B2},alpha,beta) where {B1,B2} = (gemv!(alpha,b.data,M.data,beta,result.data); result)
+
++(op1::EyeOpType{BL,BR},op2::SparseOpType{BL,BR}) where {BL,BR} = sparse(op1) + op2
+-(op1::EyeOpType{BL,BR},op2::SparseOpType{BL,BR}) where {BL,BR} = sparse(op1) - op2
++(op1::SparseOpType{BL,BR},op2::EyeOpType{BL,BR}) where {BL,BR} = sparse(op2) + op1
+-(op2::SparseOpType{BL,BR},op1::EyeOpType{BL,BR}) where {BL,BR} = op2 - sparse(op1)
+*(op::EyeOpType,a::T) where {T<:Number} = a*sparse(op)
+*(a::T,op::EyeOpType) where {T<:Number} = a*sparse(op)
+/(op::EyeOpType,a::T) where {T<:Number} = sparse(op)/a
\ No newline at end of file
diff --git a/test/test_operators_sparse.jl b/test/test_operators_sparse.jl
index 5e1c50cc..d11fe1bc 100644
--- a/test/test_operators_sparse.jl
+++ b/test/test_operators_sparse.jl
@@ -117,6 +117,13 @@ IEye = identityoperator(b_l)
 @test sparse(IEye) == I
 Icomp = identityoperator(b1a) ⊗ identityoperator(b2a) ⊗ identityoperator(b3a)
 @test IEye == Icomp
+@test typeof(2*IEye)<:SparseOpType
+@test typeof(IEye*2)<:SparseOpType
+@test typeof(IEye/2)<:SparseOpType
+@test typeof(IEye+sparse(IEye))<:SparseOpType
+@test typeof(sparse(IEye)+IEye)<:SparseOpType
+@test typeof(sparse(IEye)-IEye)<:SparseOpType
+@test typeof(IEye-sparse(IEye))<:SparseOpType
 
 # Test tr and normalize
 op = sparse(DenseOperator(GenericBasis(3), [1 3 2;5 2 2;-1 2 5]))