Continuation of Lp-isometries

A. I. Plotkin

doi:10.1007/bf01099673

journal article Jan 01, 1974

Continuation of Lp-isometries

A. I. Plotkin

Journal of Soviet Mathematics Vol. 2 No. 2 pp. 143-165 · Springer Science and Business Media LLC

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References

7

[1]

S. Banach, Course in Functional Analysis [Russian translation], Kiev (1948).

[2]

T. Lamperti, ?On the isometries of certain function spaces,? Pacific J. Math.,8, 459?466 (1958). 10.2140/pjm.1958.8.459

[3]

F. Forelli, ?The isometries of Hp,? Canad. J. Math.,16, 721?729 (1964). 10.4153/cjm-1964-068-3

[4]

R. Phelps, ?Extreme positive operators and homomorphisms,? Trans. Amer. Math. Soc.,108, 265?274 (1963). 10.1090/s0002-9947-1963-0156224-6

[5]

F. Bonsall, T. Lindenstrauss, and R. Phelps, ?Extreme positive operators on algebras of functions,? Math. Scand.,18, No. 2, 161?182 (1966). 10.7146/math.scand.a-10789

[6]

A. I. Plotkin, ?On isometric operators on Lp-spaces,? Dokl. Akad. Nauk SSSR,193, No. 3, 537?539 (1970).

[7]

E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford Univ. Press, (1937).

Cited By

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Isometric operators in Lp spaces of analytic and harmonic functions

A. I. Plotkin · 1975

Journal of Soviet Mathematics

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13

Citations

7

References

Details

Published: Jan 01, 1974
Vol/Issue: 2(2)
Pages: 143-165
License: View

Authors

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A. I. Plotkin

Cite This Article

A. I. Plotkin (1974). Continuation of Lp-isometries. Journal of Soviet Mathematics, 2(2), 143-165. https://doi.org/10.1007/bf01099673

Continuation of Lp-isometries

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