Operator ergodic theory for one-parameter decomposable groups

Aldous, 1979, Unconditional bases and martingales in Lp(F), Math. Proc. Cambridge Philos. Soc., 85, 117, 10.1017/S0305004100055559 Berkson, 1985, Spectral families of projections in Hardy spaces, J. Funct. Anal., 60, 146, 10.1016/0022-1236(85)90049-7 Berkson, 2010, Fourier analysis methods in operator ergodic theory on super-reflexive Banach spaces, Electron. Res. Announc. Math. Sci., 17, 90 Berkson, 2010, Spectral theory and operator ergodic theory on super-reflexive Banach spaces, Studia Math., 200, 221, 10.4064/sm200-3-2 Berkson, 1986, Fourier series criteria for operator decomposability, Integral Equations Operator Theory, 9, 767, 10.1007/BF01202516 Berkson, 1987, Stečkinʼs theorem, transference, and spectral decompositions, J. Funct. Anal., 70, 140, 10.1016/0022-1236(87)90128-5 Berkson, 1989, Spectral decompositions and vector-valued transference, vol. 138, 22 Berkson, 1994, Spectral decompositions and harmonic analysis on UMD spaces, Studia Math., 112, 13 Berkson, 1997, Mean-boundedness and Littlewood–Paley for separation-preserving operators, Trans. Amer. Math. Soc., 349, 1169, 10.1090/S0002-9947-97-01896-5 Berkson, 1997, The q-variation of functions and spectral integration of Fourier multipliers, Duke Math. J., 88, 103, 10.1215/S0012-7094-97-08804-9 Berkson, 2003, Shifts as models for spectral decomposability on Hilbert space, J. Operator Theory, 50, 77 Berkson, 2004, The q-variation of functions and spectral integration from dominated ergodic estimates, J. Fourier Anal. Appl., 10, 149, 10.1007/s00041-004-8009-z Berkson, 1986, Abstract spectral decompositions guaranteed by the Hilbert transform, Proc. London Math. Soc. (3), 53, 489, 10.1112/plms/s3-53.3.489 D. Blagojevic, Spectral families and geometry of Banach spaces, PhD thesis, University of Edinburgh, 2007, posted at http://www.era.lib.ed.ac.uk/handle/1842/2389. Bourgain, 1983, Some remarks on Banach spaces in which martingale difference sequences are unconditional, Ark. Mat., 21, 163, 10.1007/BF02384306 Browder, 1971, On Bernsteinʼs inequality and the norm of hermitian operators, Amer. Math. Monthly, 78, 871, 10.2307/2316478 Burkholder, 1983, A geometric condition that implies the existence of certain singular integrals of Banach-space-valued functions, 270 Calderón, 1968, Ergodic theory and translation invariant operators, Proc. Natl. Acad. Sci. USA, 59, 349, 10.1073/pnas.59.2.349 Coifman, 1988, Multiplicateurs de Fourier de Lp(R) et estimations quadratiques, C. R. Acad. Sci. Paris Sér. I, 306, 351 Coifman, 1973, Operators associated with representations of amenable groups, singular integrals induced by ergodic flows, the rotation method and multipliers, Studia Math., 47, 285, 10.4064/sm-47-3-285-303 Coifman, 1976, Transference Methods in Analysis, vol. 31 Day, 1941, Reflexive Banach spaces not isomorphic to uniformly convex spaces, Bull. Amer. Math. Soc., 47, 313, 10.1090/S0002-9904-1941-07451-3 Dowson, 1978, Spectral Theory of Linear Operators, vol. 12 Dunford, 1958, Linear Operators. Part I: General Theory, vol. 7 Edwards, 1977, Littlewood–Paley and Multiplier Theory, vol. 90 Enflo, 1972, Banach spaces which can be given an equivalent uniformly convex norm, Israel J. Math., 13, 281, 10.1007/BF02762802 D. Fife, Spectral decomposition of ergodic flows in Lp, PhD thesis, University of Chicago, 1968. Fife, 1970, Spectral decomposition of ergodic flows on Lp, Bull. Amer. Math. Soc., 76, 138, 10.1090/S0002-9904-1970-12402-8 Hewitt, 1969 James, 1972, Super-reflexive spaces with bases, Pacific J. Math., 41, 409, 10.2140/pjm.1972.41.409 James, 1972, Super-reflexive Banach spaces, Canadian J. Math., 24, 896, 10.4153/CJM-1972-089-7 Maurey, 1975, Système de Haar Pisier, 1975, Un exemple concernant la super-réflexivité Porter, 2005, Hellyʼs selection principle for functions of bounded p-variation, Rocky Mountain J. Math., 35, 675, 10.1216/rmjm/1181069753 Spain, 1972, On well-bounded operators of type (B), Proc. Edinburgh Math. Soc. (2), 18, 35, 10.1017/S0013091500026134 Young, 1936, An inequality of the Hölder type, connected with Stieltjes integration, Acta Math., 67, 251, 10.1007/BF02401743 Zsidó, 1983, Spectral properties of the analytic generator and singular integrals, Atti Accad. Naz. Lincei (8), 17, 105