Literaturverzeichnis
C. Baiocchi, Un teorema di interpolazione; applicazioni ai problemi ai limiti per le equazioni differenziali a derivate parziali. Ann. Mat. Pura Appl.73, 233–252 (1966).
M. S. Baouendi etC. Goulaouic, Commutation de l'intersection et des foncteurs d'interpolation. C. R. Acad. Sci. Paris265, A 313-A 315 (1967).
N. K. Bari andS. B. Steckin, The best approximation and differential properties of two conjugate functions. Trudy Mosk. mat. ob-va5, 483–522 (1956).
J.Bergh and J.Löfström, Interpolation Spaces. Berlin-Heidelberg-New York 1976.
H.Berens, Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen. LNM64, Berlin-Heidelberg-New York 1968.
R. C.Bück, Linear spaces and approximation theory. In: On Numerical Approximation (R. E. Langer, Ed.). Proc. Symp. Wisconsin 1958, pp. 11–23. Madison 1959.
P. L.Butzer and H.Berens, Semigroups of Operators and Approximation. Berlin-Heidelberg-New York 1967.
P. L.Butzer und K.Scherer, Approximationsprozesse und Interpolationsmethoden. Mannheim-Zürich 1968.
Yung-Mingh Chen, Theorems of asymptotic approximation. Math. Ann.140, 360–407 (1960).
I. D. Evzerov andP. E. Sobolevskii, Fractional powers of ordinary differential operators. Diff. Urav.9, 228–240 (1973); Diff. Eq.9, 174–182 (1973).
D. Fujiwara, Concrete characterisation of the domains of fractional powers of some elliptic differential operators of the second order. Proc. Japan Acad.43, 82–86 (1967).
D. Fujiwara,L p-theory for characterizing the domain of the fractional powers ofΔ in the half space. J. Fac. Sci. Univ. Tokyo, Sect. I15, 169–177 (1968).
J. E.Gilbert, Counter-examples in interpolation space theory from harmonic analysis. In: Linear Operators and Approximation. Conference Oberwolfach 1974, pp. 141–168, Basel-Stuttgart 1974.
P. Grisvard, Commutativité de deux foncteurs d'interpolation et applications. J. Math. Pur. Appl.45, 143–290 (1966).
P. Grisvard, Caracterisation de quelques espaces d'interpolation. Arch. Rat. Mech. Analysis25, 40–63 (1967).
P. Grisvard, Interpolation non commutative. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur52, 11–15 (1972).
H. P.Helfrich, Charakterisierung desK-Funktionales zwischen Hilberträumen und nichtuniforme Fehlerschranken. Bonner Mathematische Schriften, Nr. 89; Finite Elemente, p. 31–41 (1976).
T. Holmstedt, Interpolation of quasi-normed spaces. Math. Scand.26, 177–199 (1970).
T.Kato, Perturbation Theory for Linear Operators. Berlin-Heidelberg-New York 1966.
R. B.Kellog, Interpolation between subspaces. Technical Note BN-719. Institute for Fluid Dynamics and Applied Mathematics, University of Maryland.
J. L.Lions et E.Magenes, Problèmes aux limites non homogènes et applications, Vol. 1. Paris 1968.
J. L. Lions etE. Magenes, Problèmes aux limites non homogènes V. Ann. Inst. Fourier11, 137–178 (1961).
J. L. Lions etJ. Peetre, Sur une classe d'espaces d'interpolation. Publ. Math. I.H.E.S.19, 5–68 (1964).
J.Peetre, A Theory of Interpolation of Normed Spaces. Notes Universidade de Brasilia 1963.
J. Peetre, Espaces d'interpolation généralisations applications. Rend. Sem. Mat. Fis. Milano34, 133–164 (1964).
J. Peetre, Sur le nombre de paramètres dans la définition de certaines espaces d'interpolation. Ricerche di Matematica12, 248–261 (1963).
J. Peetre, Über den Durchschnitt von Interpolationsräumen. Arch. Math.25, 511–513 (1974).
J. Peetre, Non-commutative interpolation. Mathematiche (Catania)25, 159–173 (1970).
Y.Sagher, Norm inequalities on Fourier coefficients and interpolation theory. In: Linear Operators and Approximation II, pp. 169–180. Oberwolfach Conference 1974. Basel-Stuttgart 1974.
R. Seeley, Interpolation inL p with boundary conditions. Studia Math.44, 47–60 (1972).
A. F.Timan, Theory of Approximation of Function of a Real Variable. Oxford 1973.
H. Triebel, Eine Bemerkung zur nichtkommutativen Interpolation. Math. Nachr.69, 57–60 (1975).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Helfrich, H.P. Interpolation zwischen Unterräumen eines Hilbertraumes. Arch. Math 30, 188–199 (1978). https://doi.org/10.1007/BF01226039
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01226039