--- a/test/LazyTensors/lazy_tensor_operations_test.jl	Thu Mar 10 11:13:34 2022 +0100
+++ b/test/LazyTensors/lazy_tensor_operations_test.jl	Thu Mar 10 16:57:01 2022 +0100
@@ -123,6 +123,8 @@
 
     @test range_size(A+B) == range_size(A) == range_size(B)
     @test domain_size(A+B) == domain_size(A) == domain_size(B)
+
+    @test ((A+B)*ComplexF64[1.1,1.2,1.3])[3] isa ComplexF64
 end
 
 
@@ -145,6 +147,9 @@
 
     v = rand(2)
     @test (Ã∘B̃)'*v ≈ B'*A'*v rtol=1e-14
+
+    @test (Ã∘B̃*ComplexF64[1.,2.,3.,4.])[1] isa ComplexF64
+    @test ((Ã∘B̃)'*ComplexF64[1.,2.])[1] isa ComplexF64
 end
 
 @testset "LazyLinearMap" begin
@@ -210,6 +215,10 @@
         @test I*v == v
         @test I'*v == v
 
+        v = rand(ComplexF64,sz...)
+        @test I*v == v
+        @test I'*v == v
+
         @test range_size(I) == sz
         @test domain_size(I) == sz
     end
@@ -338,6 +347,16 @@
             end
         end
 
+        @testset "application to other type" begin
+            tm = InflatedTensorMapping(I(3,2), A, I(4))
+
+            v = rand(ComplexF64, domain_size(tm)...)
+            @test (tm*v)[1,2,3,1] isa ComplexF64
+
+            v = rand(ComplexF64, domain_size(tm')...)
+            @test (tm'*v)[1,2,2,1] isa ComplexF64
+        end
+
         @testset "Inference of application" begin
             struct ScalingOperator{T,D} <: TensorMapping{T,D,D}
                 λ::T