halmos paul 1916 (17 Ergebnisse)

1st edition. Fine copy in the original title-blocked cloth. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; XVI, 134 pp. Notes; Includes bibliographical references and index. Contents; §1. Measure Spaces -- Example 1.1. Separable, not ?-finite -- Example 1.2. Finite, not separable -- §2. Kernels -- § 3. Domains -- Example 3.1. Domain 0 -- Example 3.2. Hilbert transform -- Problem 3.3. Closed domain -- Example 3.4. Dense domain -- Example 3.5. Dense domain -- Example 3.6. Non-closed kernel -- Example 3.7. Non-closed kernel -- Theorem 3.8. Carleman kernels -- Lemma 3.9. Dominated subsequences -- Theorem 3.10. Full domain -- Example 3.11. Everywhere defined kernels -- Problem 3.12. Closed domains and kernels -- §4. Boundedness -- Lemma 4.1. Square integrable kernels -- Example 4.2. Dyads -- Lemma 4.3. Rank 1 -- Corollary 4.4. Finite rank -- Theorem 4.5. Hilbert-Schmidt operators -- Corollary 4.6. Compactness -- Corollary 4.7. Singular values -- §5. Examples -- Example 5.1. Inflated identity -- Theorem 5.2. Schur test -- Example 5.3. Abel kernel -- Example 5.4. Cesàro kernel -- Example 5.5. Hilbert-Hankel matrix -- Theorem 5.6. Toeplitz matrices -- Example 5.7. Hilbert-Toeplitz matrix -- Example 5.8. Discrete Fourier transform -- §6. Isomorphisms -- Theorem 6.1. Induced unitary operators -- Theorem 6.2. Transforms of kernels -- Corollary 6.3. Unitary equivalence -- Corollary 6.4. Preservation of structure -- Example 6.5. Projection on L2(II) -- Example 6.6. Atomic spaces versus ? -- §7. Algebra -- Problem 7.1. Multipliability -- Example 7.2. Compact Fourier transform -- Theorem 7.3. Operators on atomic spaces -- Lemma 7.4. Integrable approximation -- Theorem 7.5. Conjugate transposes -- Corollary 7.6. Atomic domain -- Corollary 7.7. Matrices -- §8. Uniqueness -- Theorem 8.1. Uniqueness -- Problem 8.2. Determination -- Example 8.3. Non-measurable kernel -- Problem 8.4. Measurability -- Theorem 8.5. Identity operator -- Theorem 8.6. Multiplication operators -- §9. Tensors -- Theorem 9.1. Direct sums -- Corollary 9.2. Carleman kernels -- Theorem 9.3. Tensor products -- Problem 9.4. Bounded kernels -- Theorem 9.5. Tensor multiplicativity of Int -- Theorem 9.6. Tensors with dyads -- Example 9.7. Isometry on L2(II) -- Example 9.8. Inflations as tensor products -- Theorem 9.9. Bounded matrices -- Corollary 9.10. Schur products -- Example 9.11. Schur products with dyads -- §10. Absolute Boundedness -- Example 10.1. Hilbert-Toeplitz matrix -- Example 10.2. Discrete Fourier transform -- Example 10.3. Direct sum matrix -- Example 10.4. Divisible spaces -- Theorem 10.5. Characterization -- Corollary 10.6. Adjoints -- Theorem 10.7. Products -- Theorem 10.8. Non-invertibility -- Theorem 10.9. Schur products -- Example 10.10. Unbounded Schur products -- Remark 10.11. Tensor quotients -- §11. Carleman Kernels -- Example 11.1. Absolutely bounded, not Carleman -- Theorem 11.2. Inclusion relations -- Example 11.3. Counterexamples -- Theorem 11.4. Strong boundedness -- Theorem 11.5. Carleman functions -- Theorem 11.6. Right ideal -- Corollary 11.7. Non-invertibility -- Problem 11.8. Right ideal -- Theorem 11.9. Co-boundedness -- Theorem 11.10. Hermitian kernels -- Theorem 11.11. Normal Carleman adjoints -- Problem 11.12. Normal integral adjoints -- Example 11.13. Non-Carleman integral adjoint -- §12. Compactness -- Lemma 12.1. Convolution kernels on L1 -- Theorem 12.2. Convolution kernels on L2 -- Corollary 12.3. Compactness -- Example 12.4. Non-integral, compact -- §13. Compactness -- Lemma 13.1. Large characteristic functions -- Lemma 13.2. Absolute continuity -- Example 13.3. Non-absolute continuity -- Lemma 13.4. Hille-Tamarkin kernels -- Example 13.5. Non-Hille-Tamarkin kernels -- Remark 13.6. Hille-Tamarkin operators -- Lemma 13.7. Integrable kernels -- Theorem 13.8. compactness -- Corollary 13.9. Hilbert-Schmidt approximation -- § 14. Essential Spectrum -- Example 14.1. Tensor products and spectra -- Theo.

1st edition. Fine copy in the original title-blocked cloth. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; XVI, 134 pp. Notes; Includes bibliographical references and index. Contents; §1. Measure Spaces -- Example 1.1. Separable, not ?-finite -- Example 1.2. Finite, not separable -- §2. Kernels -- § 3. Domains -- Example 3.1. Domain 0 -- Example 3.2. Hilbert transform -- Problem 3.3. Closed domain -- Example 3.4. Dense domain -- Example 3.5. Dense domain -- Example 3.6. Non-closed kernel -- Example 3.7. Non-closed kernel -- Theorem 3.8. Carleman kernels -- Lemma 3.9. Dominated subsequences -- Theorem 3.10. Full domain -- Example 3.11. Everywhere defined kernels -- Problem 3.12. Closed domains and kernels -- §4. Boundedness -- Lemma 4.1. Square integrable kernels -- Example 4.2. Dyads -- Lemma 4.3. Rank 1 -- Corollary 4.4. Finite rank -- Theorem 4.5. Hilbert-Schmidt operators -- Corollary 4.6. Compactness -- Corollary 4.7. Singular values -- §5. Examples -- Example 5.1. Inflated identity -- Theorem 5.2. Schur test -- Example 5.3. Abel kernel -- Example 5.4. Cesàro kernel -- Example 5.5. Hilbert-Hankel matrix -- Theorem 5.6. Toeplitz matrices -- Example 5.7. Hilbert-Toeplitz matrix -- Example 5.8. Discrete Fourier transform -- §6. Isomorphisms -- Theorem 6.1. Induced unitary operators -- Theorem 6.2. Transforms of kernels -- Corollary 6.3. Unitary equivalence -- Corollary 6.4. Preservation of structure -- Example 6.5. Projection on L2(II) -- Example 6.6. Atomic spaces versus ? -- §7. Algebra -- Problem 7.1. Multipliability -- Example 7.2. Compact Fourier transform -- Theorem 7.3. Operators on atomic spaces -- Lemma 7.4. Integrable approximation -- Theorem 7.5. Conjugate transposes -- Corollary 7.6. Atomic domain -- Corollary 7.7. Matrices -- §8. Uniqueness -- Theorem 8.1. Uniqueness -- Problem 8.2. Determination -- Example 8.3. Non-measurable kernel -- Problem 8.4. Measurability -- Theorem 8.5. Identity operator -- Theorem 8.6. Multiplication operators -- §9. Tensors -- Theorem 9.1. Direct sums -- Corollary 9.2. Carleman kernels -- Theorem 9.3. Tensor products -- Problem 9.4. Bounded kernels -- Theorem 9.5. Tensor multiplicativity of Int -- Theorem 9.6. Tensors with dyads -- Example 9.7. Isometry on L2(II) -- Example 9.8. Inflations as tensor products -- Theorem 9.9. Bounded matrices -- Corollary 9.10. Schur products -- Example 9.11. Schur products with dyads -- §10. Absolute Boundedness -- Example 10.1. Hilbert-Toeplitz matrix -- Example 10.2. Discrete Fourier transform -- Example 10.3. Direct sum matrix -- Example 10.4. Divisible spaces -- Theorem 10.5. Characterization -- Corollary 10.6. Adjoints -- Theorem 10.7. Products -- Theorem 10.8. Non-invertibility -- Theorem 10.9. Schur products -- Example 10.10. Unbounded Schur products -- Remark 10.11. Tensor quotients -- §11. Carleman Kernels -- Example 11.1. Absolutely bounded, not Carleman -- Theorem 11.2. Inclusion relations -- Example 11.3. Counterexamples -- Theorem 11.4. Strong boundedness -- Theorem 11.5. Carleman functions -- Theorem 11.6. Right ideal -- Corollary 11.7. Non-invertibility -- Problem 11.8. Right ideal -- Theorem 11.9. Co-boundedness -- Theorem 11.10. Hermitian kernels -- Theorem 11.11. Normal Carleman adjoints -- Problem 11.12. Normal integral adjoints -- Example 11.13. Non-Carleman integral adjoint -- §12. Compactness -- Lemma 12.1. Convolution kernels on L1 -- Theorem 12.2. Convolution kernels on L2 -- Corollary 12.3. Compactness -- Example 12.4. Non-integral, compact -- §13. Compactness -- Lemma 13.1. Large characteristic functions -- Lemma 13.2. Absolute continuity -- Example 13.3. Non-absolute continuity -- Lemma 13.4. Hille-Tamarkin kernels -- Example 13.5. Non-Hille-Tamarkin kernels -- Remark 13.6. Hille-Tamarkin operators -- Lemma 13.7. Integrable kernels -- Theorem 13.8. compactness -- Corollary 13.9. Hilbert-Schmidt approximation -- § 14. Essential Spectrum -- Example 14.1. Tensor products and spectra -- Theo.

Zustand: New.

Zustand: As New. Unread book in perfect condition.

Zustand: As New. Unread book in perfect condition.

Zustand: New.

Zustand: As New. Unread book in perfect condition.

Zustand: New.

Zustand: As New. Unread book in perfect condition.

Zustand: New.

Paperback / softback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156.

, Halmos, Paul R., 1916-2006. Finite-dimensional vector spaces. Princeton, N.J., Van Nostrand, 1958, 2d edition, 200pp., very good gray cloth, BUT with pencil notations in margins on 5 pages, previous owner's name in ink. The University series in undergraduate mathematics. Substantial pencil comments at bottom of pages 120-121 8-lines. NOTE: Halmos on winning the Steele Prize (1983): "To earn his living, Lewis Carroll was a teacher, and, just for fun, because he loved to tell stories, he wrote Alice's Adventures in Wonderland. To earn my living, I've been a teacher for almost fifty years, and, just for fun, because I love to organize and clarify, I wrote Finite Dimensional Vector Spaces. And what's the outcome? I doubt if as many as a dozen readers of these words have ever looked at either A Method of Taking Votes or "On automorphisms" but Lewis Carroll is immortal for the Alice stories, and I got the Steele Prize for exposition." HALMOS: Hungarian-born mathematician, Ph.D. University of Illinois 1938, became John von Neumann's assistant in 1940 and wrote his first book based on von Neumann's lectures. Taught at Syracuse, Chicago, and Michigan.

Hardback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156.

Hardback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156.

Hardback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156.

Paperback / softback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156.

Paperback / softback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156.