# On minimizing the sum of squares of ${\mathcal{L}}^{2}$ norms of differential operators under constraints

Richard C. Brown; Allan M. Krall

Czechoslovak Mathematical Journal (1977)

- Volume: 27, Issue: 1, page 132-143
- ISSN: 0011-4642

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topBrown, Richard C., and Krall, Allan M.. "On minimizing the sum of squares of $\mathcal {L}^2$ norms of differential operators under constraints." Czechoslovak Mathematical Journal 27.1 (1977): 132-143. <http://eudml.org/doc/12987>.

@article{Brown1977,

author = {Brown, Richard C., Krall, Allan M.},

journal = {Czechoslovak Mathematical Journal},

language = {eng},

number = {1},

pages = {132-143},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On minimizing the sum of squares of $\mathcal \{L\}^2$ norms of differential operators under constraints},

url = {http://eudml.org/doc/12987},

volume = {27},

year = {1977},

}

TY - JOUR

AU - Brown, Richard C.

AU - Krall, Allan M.

TI - On minimizing the sum of squares of $\mathcal {L}^2$ norms of differential operators under constraints

JO - Czechoslovak Mathematical Journal

PY - 1977

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 27

IS - 1

SP - 132

EP - 143

LA - eng

UR - http://eudml.org/doc/12987

ER -

## References

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- R. С. Brown, Duality theory for $n$-th order differential operators under Stieltjes boundary conditions, S.I.A.M. J. Math. Anal., to appear. Zbl0316.47027MR0385224
- R. C. Brown, Duality theory for $n$-th order differential operators under Stieltjes boundary conditions, II: Nonsmooth coefficients and nonsingular measures, Ann. Mat. Рurа. Appl., to appear. Zbl0316.47027MR0422745
- R. C. Brown, Adjoint domains and generalized splines, Czech. Math. J., 25 (1975), 134-147. (1975) Zbl0309.41014MR0397243
- N. Dunford, J. T. Schwartz, Linear operators, Part 1, Interscience, New York, 1975. (1975)
- S. Goldberg, Unbounded linear operators, McGraw-Hill, New York, 1966. (1966) Zbl0148.12501MR0200692
- M. Golomb, J. Jerome, 10.1090/S0002-9947-1971-0269918-3, Trans. Amer. Math. Soc., 153 (1971), 235 - 264. (1971) Zbl0238.34027MR0269918DOI10.1090/S0002-9947-1971-0269918-3
- A. M. Krall, R. С Brown, $n$-th order differential systems under Stieltjes boundary conditions, MRC Tech. Summ. Rept. #1581.
- D. G. Lunberger, Optimization by vector space methods, John Wiley, New York, 1969. (1969) MR0238472
- L. Schumaker, Spline functions: Theory and applications, in press.

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