diff --git a/src/abstract.jl b/src/abstract.jl
index 8c16694f..43f8415c 100644
--- a/src/abstract.jl
+++ b/src/abstract.jl
@@ -24,6 +24,8 @@ const LinearOperatorIndexType{I} =
 
 # import methods we overload
 import Base.eltype, Base.isreal, Base.size, Base.show
+import Base.copy!, Base.copyto!
+import Base.Broadcast: BroadcastStyle, DefaultArrayStyle, Broadcasted, broadcastable, materialize!
 import LinearAlgebra.Symmetric,
   LinearAlgebra.issymmetric, LinearAlgebra.Hermitian, LinearAlgebra.ishermitian
 
@@ -44,13 +46,13 @@ other operators, with matrices and with scalars. Operators may
 be transposed and conjugate-transposed using the usual Julia syntax.
 """
 mutable struct LinearOperator{T, S, I <: Integer, F, Ft, Fct} <: AbstractLinearOperator{T}
-  const nrow::I
-  const ncol::I
-  const symmetric::Bool
-  const hermitian::Bool
-  const prod!::F
-  const tprod!::Ft
-  const ctprod!::Fct
+  nrow::I
+  ncol::I
+  symmetric::Bool
+  hermitian::Bool
+  prod!::F
+  tprod!::Ft
+  ctprod!::Fct
   nprod::I
   ntprod::I
   nctprod::I
@@ -183,6 +185,55 @@ storage_type(op::Adjoint) = storage_type(parent(op))
 storage_type(op::Transpose) = storage_type(parent(op))
 storage_type(op::Diagonal) = typeof(parent(op))
 
+broadcastable(op::AbstractLinearOperator) = Ref(op)
+BroadcastStyle(::Type{<:AbstractLinearOperator}) = DefaultArrayStyle{0}()
+
+function copyto!(
+  dest::LinearOperator{T, S},
+  src::LinearOperator{T, S},
+) where {T, S}
+  dest.nrow = src.nrow
+  dest.ncol = src.ncol
+  dest.symmetric = src.symmetric
+  dest.hermitian = src.hermitian
+  dest.prod! = src.prod!
+  dest.tprod! = src.tprod!
+  dest.ctprod! = src.ctprod!
+  dest.nprod = src.nprod
+  dest.ntprod = src.ntprod
+  dest.nctprod = src.nctprod
+  dest.Mv = src.Mv
+  dest.Mtu = src.Mtu
+  return dest
+end
+
+function copyto!(dest::LinearOperator, src::LinearOperator)
+  throw(
+    LinearOperatorException(
+      "cannot update a LinearOperator in-place: incompatible element types " *
+      "$(eltype(dest)) and $(eltype(src)), or storage types " *
+      "$(typeof(dest.Mv)) and $(typeof(src.Mv)). " *
+      "Use assignment (`dest = src`) instead.",
+    ),
+  )
+end
+
+copy!(dest::LinearOperator, src::LinearOperator) = copyto!(dest, src)
+
+function materialize!(dest::LinearOperator, bc::Broadcasted{DefaultArrayStyle{0}})
+  (bc.f === identity && length(bc.args) == 1) ||
+    throw(
+      LinearOperatorException(
+        "only broadcast assignment of a single LinearOperator is supported (e.g., `op .= new_op`).",
+      ),
+    )
+  src_arg = bc.args[1]
+  src = src_arg isa Ref ? src_arg[] : src_arg
+  src isa LinearOperator ||
+    throw(LinearOperatorException("right-hand side of `op .= ...` must be a LinearOperator"))
+  return copyto!(dest, src)
+end
+
 """
   reset!(op)
 
diff --git a/test/test_linop.jl b/test/test_linop.jl
index 6e4ad36f..72600166 100644
--- a/test/test_linop.jl
+++ b/test/test_linop.jl
@@ -111,6 +111,31 @@ function test_linop()
       @test Matrix(Hermitian(op6)) == (A6 + adjoint(A6)) / 2
     end
 
+    @testset "In-place operator update" begin
+      A = rand(5, 5)
+      B = rand(5, 5)
+      x = rand(5)
+
+      opA = LinearOperator(A)
+      opB = LinearOperator(B)
+
+      copyto!(opA, opB)
+      @test opA * x ≈ B * x
+
+      C = rand(5, 5)
+      opC = LinearOperator(C)
+      copy!(opA, opC)
+      @test opA * x ≈ C * x
+
+      opA .= opB
+      @test opA * x ≈ B * x
+
+      @test_throws LinearOperatorException opA .+= opB
+
+      op_complex = LinearOperator(rand(ComplexF64, 5, 5))
+      @test_throws LinearOperatorException copyto!(opA, op_complex)
+    end
+
     @testset "Constructor with specified structure" begin
       v = simple_vector(Float64, nrow)
       A = simple_matrix(ComplexF64, nrow, nrow)