no. 1-2
Fredholm formulae and the Riesz theory
Compositio Mathematica, Tome 18 (1967) no. 1-2, pp. 25-48 
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     author = {Ruston, A. F.},
     title = {Fredholm formulae and the {Riesz} theory},
     journal = {Compositio Mathematica},
     pages = {25--48},
     year = {1967},
     publisher = {P. Noordhoff N. V., Groningen},
     volume = {18},
     number = {1-2},
     mrnumber = {221331},
     zbl = {0184.16102},
     language = {en},
     url = {https://www.numdam.org/item/CM_1967__18_1-2_25_0/}
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Ruston, A. F. Fredholm formulae and the Riesz theory. Compositio Mathematica, Tome 18 (1967) no. 1-2, pp. 25-48. https://www.numdam.org/item/CM_1967__18_1-2_25_0/

S. Banach [1] Théorie des Opérations Linéaires (Warsaw, 1932). | Zbl | JFM

G. Birkhoff and S. Maclane [2] A Survey of Modern Algebra (New York, 1953). | Zbl | MR

A.M. Deprit [3] Endomorphismes de Riesz, Ann. Soc. Sci. Bruxelles, Sér. I, 70 (1956), 165- 184. | Zbl

[4] Sous-espaces vectoriels d'un espace localement convexe séparé, Acad. Roy. Belg. Bull. Cl. Sci. (5), 42 (1956), 1012-1017. | Zbl

[5] Quelques classes d'homomorphismes dans des espaces vectoriels, Ann. Soc. Sci. Bruxelles, Sér. I, 71 (1956), 5-43. | Zbl

[6] Une partition du spectre d'un endomorphisme continu d'un espace vectoriel topologique complexe, Nederl. Akad. Wetensch. Proc. Ser. A, 60 (1957), 55-59. | Zbl

[7] Une propriété des homomorphismes d'espaces de Fréchet, Acad. Roy. Belg. Bull. Cl. Sci. (5), 43 (1957), 834-837. | Zbl

[8] Quelques classes d'endomorphismes d'espaces localement convexes séparés, Ann. Soc. Sci. Bruxelles, Sér. I, 71 (1957), 89-101. | Zbl

[9] Contribution à l'étude de l'algèbre des applications linéaires continues d'un espace localement convexe séparé: Théorie de Riesz - théorie spectrale, Acad. Roy. Belg. Cl. Sci. Mém. Coll. in 8° 31 (1959), no. 2. | Zbl

[10] Un type d'homomorphismes d'espaces localement convexes séparés, Ann. Soc. Sci. Bruxelles, Sér. I, 72 (1958), 5-13. | Zbl

N. Dunford [11] Spectral theory. I. Convergence to projections, Trans. American Math. Soc., 54 (1943), 185-217. | Zbl

[12] Spectral theory, Bull. American Math. Soc., 49 (1943), 637-651. | Zbl

N. Dunford and J.T. Schwartz [13] Linear Operators. I. General Theory (New York and London, 1958). | Zbl | MR

I. Fredholm [14] Sur une classe d'équations fonctionnelles, Acta Math., 27 (1903), 365-390. | JFM

L.M. Graves [15] A generalization of the Riesz theory of completely continuous transformations, Trans. American Math. Soc., 79 (1955), 141-149. | Zbl | MR

A. Grothendieck [16] Produits tensoriels topologiques et espaces nucléaires, Mem. American Math. Soc. No. 16 (1955). | Zbl | MR

[17] La théorie de Fredholm, Bull. Soc. Math. France, 84 (1956), 319-384. | Zbl | Numdam

P.R. Halmos [18] Finite Dimensional Vector Spaces (Princeton, 1942). | Zbl | MR

H.L. Hamburger and M.E. Grimshaw [19] Linear Transformations in n-dimensional vector space (Cambridge, 1951). | Zbl | MR

G.H. Hardy and E.M. Wright [20] An Introduction to the Theory of Numbers (Oxford, 1945). | Zbl | MR

E. Hille [21] Functional Analysis and Semi-groups (New York, 1948). | Zbl | MR

R. Kultze [22] Zur Theorie Fredholmschen Endomorphismen in nuklearen topologischen Vektorräumen, J. Reine Angew. Math., 200 (1958), 112-124. | Zbl | MR

J. Leray [23] Valeurs propres et vecteurs propres d'un endomorphisme complètement continu d'un espace vectoriel à voisinages convexes, Acta Sci. Math. Szeged, 12 Pars B (1950), 177-186. | Zbl

T. Leżański [24] The Fredholm theory of linear equations in Banach spaces, Studia Math., 13 (1953), 244-276. | Zbl

[25] Sur les fonctionnelles multiplicatives, Studia Math., 14 (1953), 13-23. | Zbl

D.E. Littlewood [26] A University Algebra (London, 1958). | Zbl

C.C. Macduffee [27] The Theory of Matrices (Berlin, 1933). | JFM

L. Mirsky [28] An Introduction to Linear Algebra (Oxford, 1955). | Zbl | MR

A.D. Michal and R.S. Martin [29] Some expansions in vector space, Journal de Math. (9), 13 (1934), 69-91. | Zbl | JFM | Numdam

S. Nikolskij [30] Lineare Gleichungen im metrischen Raume, C. R. Acad. Sci. URSS(N.S.), 2 (1936), 315-319. | Zbl | JFM

F. Riesz [31] Über lineare Funktionalgleichungen, Acta Math., 41 (1916), 71-98. | JFM

F. Riesz et B. Sz.-Nagy [32] Leçons d'Analyse Fonctionnelle (Budapest, 1952). | Zbl

A.F. Ruston [33] On the Fredholm theory of integral equations for operators belonging to the trace class of a general Banach space, Proc. London Math. Soc. (2), 53 (1951), 109-124. | Zbl | MR

[34] Direct products of Banach spaces and linear functional equations, Proc. London Math. Soc. (3), 1 (1951), 327-384. | Zbl

[35] Formulae of Fredholm type for compact linear operators on a general Banach space, Proc. London Math. Soc. (3), 3 (1953), 368-377. | Zbl

[36] Operators with a Fredholm theory, Journal London Math. Soc., 29 (1954), 318-326. | Zbl

[37] Fredholm formulae and the Riesz theory, Proc. Int. Cong. Math. 1954 Amsterdam, 2 (1954), 164-165.

[38] A note on clorms, Journal London Math. Soc., 32 (1957), 110-112. | Zbl

R. Schatten [39] A Theory of Cross-spaces (Princeton, 1950). | Zbl | MR

R. Sikorski [40] On multiplication of determinants in Banach spaces, Bull. Acad. Polon. Sci. Cl. III, 1 (1953), 219-221. | Zbl | MR

[41] On Leżański's determinants of linear equations in Banach spaces, Studia Math., 14 (1953), 24-48. | Zbl | MR

[42] On determinants of Leżański and Ruston, Studia Math., 16 (1957), 99-112. | Zbl | MR

[43] Determinant systems, Studia Math., 18 (1959), 161-186. | Zbl | MR

[44] On Leżański endomorphisms, Studia Math., 18 (1959), 187-189. | Zbl

[45] The determinant theory in Banach spaces, Colloquium Math., 8 (1961), 141-198. | Zbl

[46] Remarks on Leżański's determinants, Studia Math., 20 (1961), 145-161. | Zbl | MR

F. Smithies [47] The Fredholm theory of integral equations, Duke Math. Journal, 8 (1941), 107-130. | Zbl | JFM

[48] Integral Equations (Cambridge, 1958).

Angus E. Taylor [49] Introduction to Functional Analysis (New York, 1958). | Zbl | MR

E.C. Titchmarsh [50] The Theory of Functions (Oxford, 1939). | JFM

J.H. Williamson [51] Compact linear operators in linear topological spaces, Journal London Math. Soc., 29 (1954), 149-156. | Zbl | MR

B. Yood [52] Properties of linear transformations preserved under addition of a completely continuous transformation, Duke Math. Journal, 18 (1951), 599-612. | Zbl

K. Yosida [53] Quasi-completely-continuous linear functional operations, Jap. Journal of Maths., 15 (1939), 297-301. | Zbl | JFM

A.C. Zaanen [54] On linear functional equations, Nieuw Arch. Wiskunde (2), 22 (1948), 269-282. | Zbl | MR

[55] Integral transformations and their resolvents in Orlicz and Lebesgue spaces, Compositio Math., 10 (1952), 56-94. | Zbl | MR | Numdam

[56] Linear Analysis (Amsterdam, 1953).