diff --git a/Project.toml b/Project.toml
index 7327e3b..a5428d3 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "SerializedArrays"
 uuid = "621c0da3-e96e-4f80-bd06-5ae31cdfcb39"
 authors = ["ITensor developers <support@itensor.org> and contributors"]
-version = "0.1.1"
+version = "0.1.2"
 
 [deps]
 ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
diff --git a/src/SerializedArrays.jl b/src/SerializedArrays.jl
index b931ca9..6e46642 100644
--- a/src/SerializedArrays.jl
+++ b/src/SerializedArrays.jl
@@ -5,6 +5,10 @@ using ConstructionBase: constructorof
 using DiskArrays: DiskArrays, AbstractDiskArray, Unchunked, readblock!, writeblock!
 using Serialization: deserialize, serialize
 
+#
+# AbstractSerializedArray
+#
+
 abstract type AbstractSerializedArray{T,N} <: AbstractDiskArray{T,N} end
 const AbstractSerializedMatrix{T} = AbstractSerializedArray{T,2}
 const AbstractSerializedVector{T} = AbstractSerializedArray{T,1}
@@ -63,6 +67,10 @@ end
 #   return convert(arrayt, copy(a))
 # end
 
+#
+# SerializedArray
+#
+
 struct SerializedArray{T,N,A<:AbstractArray{T,N},Axes} <: AbstractSerializedArray{T,N}
   file::String
   axes::Axes
@@ -100,10 +108,7 @@ Base.size(a::SerializedArray) = length.(axes(a))
 to_axis(r::AbstractUnitRange) = r
 to_axis(d::Integer) = Base.OneTo(d)
 
-#
-# DiskArrays
-#
-
+# DiskArrays interface
 DiskArrays.haschunks(::SerializedArray) = Unchunked()
 function DiskArrays.readblock!(
   a::SerializedArray{<:Any,N}, aout, i::Vararg{AbstractUnitRange,N}
@@ -131,12 +136,18 @@ function DiskArrays.create_outputarray(::Nothing, a::SerializedArray, output_siz
   return similar(a, output_size)
 end
 
+#
+# PermutedSerializedArray
+#
+
 struct PermutedSerializedArray{T,N,P<:PermutedDimsArray{T,N}} <:
        AbstractSerializedArray{T,N}
   permuted_parent::P
 end
 Base.parent(a::PermutedSerializedArray) = parent(getfield(a, :permuted_parent))
 
+file(a::PermutedSerializedArray) = file(parent(a))
+
 perm(a::PermutedSerializedArray) = perm(a.permuted_parent)
 perm(::PermutedDimsArray{<:Any,<:Any,p}) where {p} = p
 
@@ -172,17 +183,21 @@ function DiskArrays.readblock!(a::PermutedSerializedArray, aout, i::OrdinalRange
   # Permute the indices
   inew = genperm(i, ip)
   # Permute the dest block and read from the true parent
-  DiskArrays.readblock!(parent(a), PermutedDimsArray(aout, ip), inew...)
+  readblock!(parent(a), PermutedDimsArray(aout, ip), inew...)
   return nothing
 end
 function DiskArrays.writeblock!(a::PermutedSerializedArray, v, i::OrdinalRange...)
   ip = iperm(a)
   inew = genperm(i, ip)
   # Permute the dest block and write from the true parent
-  DiskArrays.writeblock!(parent(a), PermutedDimsArray(v, ip), inew...)
+  writeblock!(parent(a), PermutedDimsArray(v, ip), inew...)
   return nothing
 end
 
+#
+# ReshapedSerializedArray
+#
+
 struct ReshapedSerializedArray{T,N,P<:AbstractArray{T},Axes} <: AbstractSerializedArray{T,N}
   parent::P
   axes::Axes
@@ -190,6 +205,8 @@ end
 Base.parent(a::ReshapedSerializedArray) = getfield(a, :parent)
 Base.axes(a::ReshapedSerializedArray) = getfield(a, :axes)
 
+file(a::ReshapedSerializedArray) = file(parent(a))
+
 function ReshapedSerializedArray(
   a::AbstractSerializedArray,
   ax::Tuple{AbstractUnitRange{<:Integer},Vararg{AbstractUnitRange{<:Integer}}},
@@ -256,6 +273,141 @@ function DiskArrays.writeblock!(
   return nothing
 end
 
+#
+# SubSerializedArray
+#
+
+struct SubSerializedArray{T,N,P,I,L} <: AbstractSerializedArray{T,N}
+  sub_parent::SubArray{T,N,P,I,L}
+end
+
+file(a::SubSerializedArray) = file(parent(a))
+
+# Base methods
+function Base.view(a::SerializedArray, i...)
+  return SubSerializedArray(SubArray(a, Base.to_indices(a, i)))
+end
+function Base.view(a::SerializedArray, i::CartesianIndices)
+  return SubSerializedArray(SubArray(a, Base.to_indices(a, i)))
+end
+Base.view(a::SubSerializedArray, i...) = SubSerializedArray(view(a.sub_parent, i...))
+Base.view(a::SubSerializedArray, i::CartesianIndices) = view(a, i.indices...)
+Base.size(a::SubSerializedArray) = size(a.sub_parent)
+Base.axes(a::SubSerializedArray) = axes(a.sub_parent)
+Base.parent(a::SubSerializedArray) = parent(a.sub_parent)
+Base.parentindices(a::SubSerializedArray) = parentindices(a.sub_parent)
+
+function materialize(a::SubSerializedArray)
+  return view(copy(parent(a)), parentindices(a)...)
+end
+function Base.copy(a::SubSerializedArray)
+  return copy(materialize(a))
+end
+
+DiskArrays.haschunks(a::SubSerializedArray) = Unchunked()
+function DiskArrays.readblock!(a::SubSerializedArray, aout, i::OrdinalRange...)
+  if i == axes(a)
+    aout .= copy(a)
+  end
+  aout[i...] = copy(view(a, i...))
+  return nothing
+end
+function DiskArrays.writeblock!(a::SubSerializedArray, ain, i::OrdinalRange...)
+  if i == axes(a)
+    serialize(file(a), ain)
+    return a
+  end
+  a_parent = copy(parent(a))
+  pinds = parentindices(view(a.sub_parent, i...))
+  a_parent[pinds...] = ain
+  serialize(file(a), a_parent)
+  return nothing
+end
+
+#
+# TransposeSerializedArray
+#
+
+struct TransposeSerializedArray{T,P<:AbstractSerializedArray{T}} <:
+       AbstractSerializedMatrix{T}
+  parent::P
+end
+Base.parent(a::TransposeSerializedArray) = getfield(a, :parent)
+
+file(a::TransposeSerializedArray) = file(parent(a))
+
+Base.axes(a::TransposeSerializedArray) = reverse(axes(parent(a)))
+Base.size(a::TransposeSerializedArray) = length.(axes(a))
+
+function Base.transpose(a::AbstractSerializedArray)
+  return TransposeSerializedArray(a)
+end
+Base.transpose(a::TransposeSerializedArray) = parent(a)
+
+function Base.similar(a::TransposeSerializedArray, elt::Type, dims::Tuple{Vararg{Int}})
+  return similar(parent(a), elt, dims)
+end
+
+function materialize(a::TransposeSerializedArray)
+  return transpose(copy(parent(a)))
+end
+function Base.copy(a::TransposeSerializedArray)
+  return copy(materialize(a))
+end
+
+haschunks(a::TransposeSerializedArray) = Unchunked()
+function DiskArrays.readblock!(a::TransposeSerializedArray, aout, i::OrdinalRange...)
+  readblock!(parent(a), transpose(aout), reverse(i)...)
+  return nothing
+end
+function DiskArrays.writeblock!(a::TransposeSerializedArray, ain, i::OrdinalRange...)
+  writeblock!(parent(a), transpose(aout), reverse(i)...)
+  return nothing
+end
+
+#
+# AdjointSerializedArray
+#
+
+struct AdjointSerializedArray{T,P<:AbstractSerializedArray{T}} <:
+       AbstractSerializedMatrix{T}
+  parent::P
+end
+Base.parent(a::AdjointSerializedArray) = getfield(a, :parent)
+
+file(a::AdjointSerializedArray) = file(parent(a))
+
+Base.axes(a::AdjointSerializedArray) = reverse(axes(parent(a)))
+Base.size(a::AdjointSerializedArray) = length.(axes(a))
+
+function Base.adjoint(a::AbstractSerializedArray)
+  return AdjointSerializedArray(a)
+end
+Base.adjoint(a::AdjointSerializedArray) = parent(a)
+Base.adjoint(a::TransposeSerializedArray{<:Real}) = parent(a)
+Base.transpose(a::AdjointSerializedArray{<:Real}) = parent(a)
+
+function Base.similar(a::AdjointSerializedArray, elt::Type, dims::Tuple{Vararg{Int}})
+  return similar(parent(a), elt, dims)
+end
+
+function materialize(a::AdjointSerializedArray)
+  return adjoint(copy(parent(a)))
+end
+function Base.copy(a::AdjointSerializedArray)
+  return copy(materialize(a))
+end
+
+haschunks(a::AdjointSerializedArray) = Unchunked()
+function DiskArrays.readblock!(a::AdjointSerializedArray, aout, i::OrdinalRange...)
+  readblock!(parent(a), adjoint(aout), reverse(i)...)
+  return nothing
+end
+function DiskArrays.writeblock!(a::AdjointSerializedArray, ain, i::OrdinalRange...)
+  writeblock!(parent(a), adjoint(aout), reverse(i)...)
+  return nothing
+end
+
 #
 # Broadcast
 #
@@ -264,7 +416,9 @@ using Base.Broadcast:
   BroadcastStyle, Broadcasted, DefaultArrayStyle, combine_styles, flatten
 
 struct SerializedArrayStyle{N} <: Base.Broadcast.AbstractArrayStyle{N} end
-Base.BroadcastStyle(arrayt::Type{<:SerializedArray}) = SerializedArrayStyle{ndims(arrayt)}()
+function Base.BroadcastStyle(arrayt::Type{<:AbstractSerializedArray})
+  SerializedArrayStyle{ndims(arrayt)}()
+end
 function Base.BroadcastStyle(
   ::SerializedArrayStyle{N}, ::SerializedArrayStyle{M}
 ) where {N,M}
diff --git a/test/test_basics.jl b/test/test_basics.jl
index a4269be..ca6087a 100644
--- a/test/test_basics.jl
+++ b/test/test_basics.jl
@@ -1,6 +1,12 @@
 using GPUArraysCore: @allowscalar
 using JLArrays: JLArray
-using SerializedArrays: PermutedSerializedArray, ReshapedSerializedArray, SerializedArray
+using SerializedArrays:
+  AdjointSerializedArray,
+  PermutedSerializedArray,
+  ReshapedSerializedArray,
+  SerializedArray,
+  SubSerializedArray,
+  TransposeSerializedArray
 using StableRNGs: StableRNG
 using Test: @test, @testset
 using TestExtras: @constinferred
@@ -50,6 +56,33 @@ arrayts = (Array, JLArray)
   @test a isa PermutedSerializedArray{elt,2}
   @test similar(a) isa arrayt{elt,2}
   @test copy(a) == permutedims(x, (2, 1))
+  @test copy(2a) == 2permutedims(x, (2, 1))
+
+  rng = StableRNG(123)
+  x = arrayt(randn(rng, elt, 4, 4))
+  a = transpose(SerializedArray(x))
+  @test a isa TransposeSerializedArray{elt}
+  @test similar(a) isa arrayt{elt,2}
+  @test copy(a) == transpose(x)
+  @test copy(2a) == 2transpose(x)
+
+  rng = StableRNG(123)
+  x = arrayt(randn(rng, elt, 4, 4))
+  a = adjoint(SerializedArray(x))
+  @test a isa AdjointSerializedArray{elt}
+  @test similar(a) isa arrayt{elt,2}
+  @test copy(a) == adjoint(x)
+  @test copy(2a) == 2adjoint(x)
+
+  rng = StableRNG(123)
+  x = arrayt(randn(rng, elt, 4, 4))
+  a = SerializedArray(x)
+  @test transpose(transpose(a)) === a
+  @test adjoint(adjoint(a)) === a
+  if isreal(a)
+    @test adjoint(transpose(a)) === a
+    @test transpose(adjoint(a)) === a
+  end
 
   rng = StableRNG(123)
   x = arrayt(randn(rng, elt, 4, 4))
@@ -96,4 +129,17 @@ arrayts = (Array, JLArray)
   copyto!(y, a)
   b = SerializedArray(y)
   @test b == a
+
+  rng = StableRNG(123)
+  x = arrayt(randn(rng, elt, 4, 4))
+  y = @view x[2:3, 2:3]
+  a = SerializedArray(a)
+  b = @view a[2:3, 2:3]
+  @test b isa SubSerializedArray{elt,2}
+  c = 2b
+  @test 2y == copy(c)
+  @allowscalar begin
+    b[1, 1] = 2
+    @test @constinferred(b[1, 1]) == 2
+  end
 end