Question: Who was a Hungarian-American mathematician, physicist, and computer scientist that helped introduce a technique for using unbounded operators to study modules generated by a single vector?

Context articles: John von Neumann
Logarithmic norm
Spectral triple
Nakayama's lemma
Operator (mathematics)
O*-algebra
TI Advanced Scientific Computer
Paratransgenesis
Affiliated operator
Tensor product of modules

John von Neumann ( ; Hungarian: "Neumann János Lajos" , ] ; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, and computer scientist.
 He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, representation theory, operator algebras, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics.
In mathematics, the logarithmic norm is a real-valued functional on operators, and is derived from either an inner product, a vector norm, or its induced operator norm.
 The logarithmic norm was independently introduced by Germund Dahlquist and Sergei Lozinskiĭ in 1958, for square matrices.
 It has since been extended to nonlinear operators and unbounded operators as well.
 The logarithmic norm has a wide range of applications, in particular in matrix theory, differential equations and numerical analysis.
 In the finite dimensional setting it is also referred to as the matrix measure or the Lozinskiĭ measure.
In noncommutative geometry and related branches of mathematics and mathematical physics, a spectral triple is a set of data which encodes a geometric phenomenon in an analytic way.
 The definition typically involves a Hilbert space, an algebra of operators on it and an unbounded self-adjoint operator, endowed with supplemental structures.
 It was conceived by Alain Connes who was motivated by the Atiyah-Singer index theorem and sought its extension to 'noncommutative' spaces.
 Some authors refer to this notion as unbounded K-cycles or as unbounded Fredholm modules.
In mathematics, more specifically modern algebra and commutative algebra, Nakayama's lemma — also known as the Krull–Azumaya theorem — governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely generated modules.
 Informally, the lemma immediately gives a precise sense in which finitely generated modules over a commutative ring behave like vector spaces over a field.
 It is an important tool in algebraic geometry, because it allows local data on algebraic varieties, in the form of modules over local rings, to be studied pointwise as vector spaces over the residue field of the ring.
In mathematics, an operator is generally a mapping that acts on the elements of a space to produce other elements of the same space.
 The most common operators are linear maps, which act on vector spaces. However, when using "linear operator" instead of "linear map", mathematicians often mean actions on vector spaces of functions, which also preserve other properties, such as continuity.
 For example, differentiation and indefinite integration are linear operators; operators that are built from them are called differential operators, integral operators or integro-differential operators.
In mathematics, an O*-algebra is an algebra of possibly unbounded operators defined on a dense subspace of a Hilbert space.
 The original examples were described by and , who studied some examples of O*-algebras, called Borchers algebras, arising from the Wightman axioms of quantum field theory.
 and began the systematic study of algebras of unbounded operators.
The Advanced Scientific Computer (ASC) is a supercomputer designed and manufactured by Texas Instruments (TI) between 1966 and 1973.
 The ASC's central processing unit (CPU) supported vector processing, a performance-enhancing technique which was key to its high-performance.
 The ASC, along with the Control Data Corporation STAR-100 supercomputer (which was introduced in the same year), were the first computers to feature vector processing.
 However, this technique's potential was not fully realized by either the ASC or STAR-100 due to an insufficient understanding of the technique; it was the Cray Research Cray-1 supercomputer, announced in 1975 that would fully realize and popularize vector processing.
 The more successful implementation of vector processing in the Cray-1 would demarcate the ASC (and STAR-100) as first-generation vector processors, with the Cray-1 belonging in the second.
Paratransgenesis is a technique that attempts to eliminate a pathogen from vector populations through transgenesis of a symbiont of the vector.
 The goal of this technique is to control vector-borne diseases.
 The first step is to identify proteins that prevent the vector species from transmitting the pathogen.
 The genes coding for these proteins are then introduced into the symbiont, so that they can be expressed in the vector.
 The final step in the strategy is to introduce these transgenic symbionts into vector populations in the wild.
In mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to study modules generated by a single vector.
 Later Atiyah and Singer showed that index theorems for elliptic operators on closed manifolds with infinite fundamental group could naturally be phrased in terms of unbounded operators affiliated with the von Neumann algebra of the group.
 Algebraic properties of affiliated operators have proved important in L cohomology, an area between analysis and geometry that evolved from the study of such index theorems.
In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms of linear maps.
 The module construction is analogous to the construction of the tensor product of vector spaces, but can be carried out for a pair of modules over a commutative ring resulting in a third module, and also for a pair of a right-module and a left-module over any ring, with result an abelian group.
 Tensor products are important in areas of abstract algebra, homological algebra, algebraic topology, algebraic geometry, operator algebras and noncommutative geometry.
 The universal property of the tensor product of vector spaces extends to more general situations in abstract algebra.
 It allows the study of bilinear or multilinear operations via linear operations.
 The tensor product of an algebra and a module can be used for extension of scalars.
 For a commutative ring, the tensor product of modules can be iterated to form the tensor algebra of a module, allowing one to define multiplication in the module in a universal way.