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“Zur algebra der funktionaloperationen und theorie der normalen operatoren.” Offprint from Mathematische Annalen, Vol. 102, No. 3, pp. 370-427 by VON NEUMANN, John

7 to 14 days for delivery
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$4,500.00
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Seller: Rootenberg Rare Books & Manuscripts
Title
“Zur algebra der funktionaloperationen und theorie der normalen operatoren.” Offprint from Mathematische Annalen, Vol. 102, No. 3, pp. 370-427
Author
VON NEUMANN, John
Seller
Rootenberg Rare Books & Manuscripts (United States)
Description
Berlin: Julius Springer, 1929. Original printed wrappers. An excellent copy. First printing, the first introduction of Von Neumann’s “Algebra of functional operations and theory of normal operators,” thereafter referred to as Von Neumann algebras. This is von Neumann’s paper on the spectral theorem for normal operators, with detailed discussion of the weakly closed *-subalgebra generated by a set of operators In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type of C*-algebra. Von Neumann was motivated by his study of single operators, group representations, ergodic theory and quantum mechanics. Von Neumann saw two motivating forces behind the study of these algebras: applications to the newly emergent quantum physics, and application to the study of infinite groups. Quantum physics, as it was being formulated, was involved with algebraic combinations operators. It was certain to require (at the mathematical level) a deeper understanding of the structure of algebras of operators. His double commutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries. The technique of group algebras had been so useful in the study of finite groups that some corresponding construct for infinite groups was certain to be crucial for their analysis. Von Neumann algebras have found applications in diverse areas of mathematics like knot theory, statistical mechanics, quantum field theory, local quantum physics, free probability, noncommutative geometry, representation theory, differential geometry, and dynamical systems. Von Neumann (1903-1957), one of the most brilliant logicians and mathematical analysts of the century, was an original and creative thinker whose research was carried out in the vast and complex fields of both pure and applied mathematics. In particular, he concentrated his ingenious talents on the study of analysis and combinatorics and conducted important investigations into various aspects of logic and automata which had a profound influence on the development of the present day computer. See https://en.wikipedia.org/wiki/Von_Neumann_algebra.
Real Photo Post Card of an Amateur Baseball Team likely from Bath, Pennsylvania

Real Photo Post Card of an Amateur Baseball Team likely from Bath, Pennsylvania

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Standard Shipping: $5.50
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Seller: Between the Covers- Rare Books, Inc. ABAA
Title
Real Photo Post Card of an Amateur Baseball Team likely from Bath, Pennsylvania
Seller
Between the Covers- Rare Books, Inc. ABAA (United States)
Condition
Near Fine
Description
Softcover. Near Fine. Gelatin silver real photo post card. 5.5" x 3.5". Tiny rubbed spot in one corner, probably contemporary name of Ida A. Bensing on the verso, near fine. Image of eleven men in full uniform and one man in street clothes, with bats and gloves. While the team is unidentified, the logo on the uniforms is of an Old English-style "B" inside a diamond. It seems most likely that Ida A. Bensing (born c.1889) was a silk mill worker from Bath, Pennsylvania, in the Lehigh Valley, and it is likely the "B" stands for Bath.

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