Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z

Let vv be a weight sequence on ZZ and let ψ,φψ,φ be complex-valued functions on ZZ such that φ(Z)⊂Zφ(Z)⊂Z. In this paper we study the boundedness, compactness and weak compactness of weighted composition operators Cψ,φCψ,φ on predual Banach spaces c0(Z,1/v)c0(Z,1/v) and dual Banach spaces ℓ∞(Z,1/v)ℓ∞(Z,1/v) of Beurling algebras ℓ1(Z,v)ℓ1(Z,v).

B. Copies of three letters to Moody Noyes, 1800

It is unknown who made these manuscript copies of three letters from John Henry Tudor to Moody Noyes; they are not in Tudor's hand. The letters were written on September 23, 1800; November 7, 1800; and February 20, 1801. Noyes and Tudor were classmates at Harvard College, where both graduated in the class of 1800. The letters were written after they had graduated from Harvard, and in them Tudor recounts travels with his family around New England, including a stay in Saratoga and Ballston Springs, New York; his interest, shared by Moody, in entering into a store or other form of business, although he found "merchants in general [to be] a contemptible set of beings"; the maxims of the Duke de la Rochefoucauld; his hurt feelings at Moody's failure to answer his letters; and his imminent travels to Cuba with his brother, Frederic, made in hopes of restoring his health.

Quarter bills for Stephen Moody signed by Steward Caleb Gannett, 1786-1789

Four printed quarter bills for Stephen Moody (Harvard AB 1790) with sizing and punishment totals, each signed by Steward Caleb Gannett.

Letter to Moody Noyes from unknown author, ca. 1802

This letter is a memoir about John Henry Tudor, written after his death in 1802. It is addressed to Moody Noyes, who asked the author to record his sentiments and memories of Tudor. The author graduated from Harvard in the class behind Tudor, in 1801, and writes of him with great affection.

B. Copies of three letters to Moody Noyes, 1800

It is unknown who made these manuscript copies of three letters from John Henry Tudor to Moody Noyes; they are not in Tudor's hand. The letters were written on September 23, 1800; November 7, 1800; and February 20, 1801. Noyes and Tudor were classmates at Harvard College, where both graduated in the class of 1800. The letters were written after they had graduated from Harvard, and in them Tudor recounts travels with his family around New England, including a stay in Saratoga and Ballston Springs, New York; his interest, shared by Moody, in entering into a store or other form of business, although he found "merchants in general [to be] a contemptible set of beings"; the maxims of the Duke de la Rochefoucauld; his hurt feelings at Moody's failure to answer his letters; and his imminent travels to Cuba with his brother, Frederic, made in hopes of restoring his health.

Algebras and their arithmetics,

Reprint of the 1923 edition.

Linear algebras

Mode of access: Internet.

Arithmetica especulativa, y practica, y arte de algebra : en la qual se contiene todo lo que pertenece al arte menor, ò mercantil, y à las dos algebras, racional, è irracional, con la explicación de todas las proposiciones, y problemas de los libros quinto, septimo, octavo, nono y dezimo del principe de la matematica Euclides /

Mode of access: Internet.

Arithmetica especulativa y practiva [sic] y arte de algebra : en la qual se contiene todo lo qe pertenece al arte menor o mercantil, y a las dos algebras, racional e irracional : con la explicacion de todas las proposiciones y problemas de los libros quinto, septimo, octavo, nono y dezimo del principe de la mathematica Euclides /

Mode of access: Internet.

Arithmetica especulativa, y practica, y arte de algebra : en la qual se contiene todo lo que pertenece al arte menor, ò mercantivol, y à las dos algebras, racional, è irracional, con la explicación de todas las proposiciones, y problemas de los libros quinto, septimo, octavo, nono y decimo del principe de la matematica Euclides /

Mode of access: Internet.

Arithmetica especulativa, y practica, y arte de algebra : en la qual se contiene todo lo que pertenece al arte menor, ò mercantil, y à las dos algebras, racional, è irracional, con la explicación de todas las proposiciones, y problemas de los libros quinto, septimo, octavo, nono y dezimo del principe de la matematica Euclides /

Mode of access: Internet.